{"id":285347,"date":"2020-11-02T21:43:04","date_gmt":"2020-11-02T14:43:04","guid":{"rendered":"https:\/\/quipperhome.wpcomstaging.com\/?p=285347"},"modified":"2023-02-09T22:23:12","modified_gmt":"2023-02-09T15:23:12","slug":"logaritma-matematika-kelas-10","status":"publish","type":"post","link":"https:\/\/quipperhome.wpcomstaging.com\/mapel\/matematika\/logaritma-matematika-kelas-10\/","title":{"rendered":"Pengertian Logaritma Bentuk, Sifat dan Contoh Soal &#8211; Matematika Kelas 10"},"content":{"rendered":"\n<figure class=\"wp-block-image\"><img fetchpriority=\"high\" decoding=\"async\" width=\"800\" height=\"533\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-Kelas-10-1.png\" alt=\"\" class=\"wp-image-285373\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-Kelas-10-1.png 800w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-Kelas-10-1-768x512.png 768w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-Kelas-10-1-585x390.png?crop=1 585w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-Kelas-10-1-263x175.png?crop=1 263w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-Kelas-10-1-300x200.png 300w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Hai Quipperian, masih semangat belajar, kan? Semoga hari-hari kamu selalu bahagia dan menyenangkan, ya.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Pada artikel ini, Quipper Blog akan membawamu ke dunia logaritma. Jangan khawatir, materi logaritma itu mudah, <\/span><em><span style=\"font-weight: 400;\">kok<\/span><\/em><span style=\"font-weight: 400;\">. Logaritma juga dekat banget dengan kehidupanmu sehari-hari.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Misalnya saja, saat kamu diminta menentukan jarak oktaf nada dalam rentang frekuensi tertentu dan menentukan harga suatu barang berdasarkan tinggi rendahnya permintaan. Tidak hanya itu, logaritma juga bisa digunakan untuk menghitung jumlah produksi vaksin saat muncul wabah penyakit. Daripada penasaran, yuk mulai belajarnya.<\/span><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Pengertian Logaritma<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Logaritma adalah kebalikan dari perpangkatan. Secara matematis, logaritma dinyatakan sebagai berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" width=\"154\" height=\"43\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-1.png\" alt=\"\" class=\"wp-image-285367\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-1.png 154w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-1-150x43.png 150w\" sizes=\"(max-width: 154px) 100vw, 154px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Keterangan:<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em><span style=\"font-weight: 400;\">a<\/span><\/em><span style=\"font-weight: 400;\"> = basis (0 &lt; <\/span><em><span style=\"font-weight: 400;\">a<\/span><\/em><span style=\"font-weight: 400;\"> &lt; 1 atau <\/span><em><span style=\"font-weight: 400;\">a<\/span><\/em><span style=\"font-weight: 400;\"> &gt; 1);<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em><span style=\"font-weight: 400;\">c<\/span><\/em><span style=\"font-weight: 400;\"> = numerus (<\/span><em><span style=\"font-weight: 400;\">c<\/span><\/em><span style=\"font-weight: 400;\"> &gt; 0); dan<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em><span style=\"font-weight: 400;\">b<\/span><\/em><span style=\"font-weight: 400;\"> = hasil logaritma.<\/span><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Contoh Soal 1<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Tentukan nilai logaritma dari <\/span><sup><span style=\"font-weight: 400;\">2<\/span><\/sup><span style=\"font-weight: 400;\">log 8!<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Misal <\/span><sup><span style=\"font-weight: 400;\">2<\/span><\/sup><span style=\"font-weight: 400;\">log 8 = <\/span><em><span style=\"font-weight: 400;\">x<\/span><\/em><span style=\"font-weight: 400;\">.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" width=\"428\" height=\"173\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-2.png\" alt=\"\" class=\"wp-image-285366\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-2.png 428w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-2-300x121.png 300w\" sizes=\"(max-width: 428px) 100vw, 428px\" \/><\/figure>\n\n\n\n<div class=\"baca\">\n<p><span class=\"head_baca\">Baca Juga: <\/span> <a href=\"https:\/\/www.quipper.com\/id\/blog\/mapel\/matematika\/pertidaksamaan-logaritma\/\n\">Bentuk dan Sifat Pertidaksamaan Logaritma serta Contoh Soal<\/a><\/p>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Sifat-Sifat Logaritma<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Adapun sifat-sifat logaritma yang harus kamu tahu adalah sebagai berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"255\" height=\"338\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-3.png\" alt=\"\" class=\"wp-image-285365\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-3.png 255w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-3-226x300.png 226w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-3-150x200.png?crop=1 150w\" sizes=\"(max-width: 255px) 100vw, 255px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Catatan tambahan yang harus kamu ketahui adalah sebagai berikut.<\/span><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><span style=\"font-weight: 400;\">Hasil logaritma adalah pangkat dari basis.<\/span><\/li>\n\n\n\n<li><span style=\"font-weight: 400;\">Khusus untuk basis 10, biasanya tidak dituliskan. Contohnya <\/span><sup><span style=\"font-weight: 400;\">10<\/span><\/sup><span style=\"font-weight: 400;\">log <\/span><em><span style=\"font-weight: 400;\">x<\/span><\/em><span style=\"font-weight: 400;\"> = log <\/span><em><span style=\"font-weight: 400;\">x<\/span><\/em><span style=\"font-weight: 400;\">.<\/span><\/li>\n\n\n\n<li><span style=\"font-weight: 400;\">Menentukan nilai logaritma tidak selalu kembali pada definisi logaritma.<\/span><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Berikut ini adalah contoh soal yang berkaitan dengan sifat logaritma.<\/span><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Contoh Soal 2<\/strong><\/h3>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"340\" height=\"47\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-4.png\" alt=\"\" class=\"wp-image-285364\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-4.png 340w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-4-300x41.png 300w\" sizes=\"(max-width: 340px) 100vw, 340px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\"> <\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Berdasarkan sifat-sifat logaritma, diperoleh:<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"177\" height=\"252\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-5.png\" alt=\"\" class=\"wp-image-285363\"\/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Contoh Soal 3<\/strong><\/h3>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"233\" height=\"40\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-6.png\" alt=\"\" class=\"wp-image-285362\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Berdasarkan sifat-sifat logaritma, diperoleh:<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"173\" height=\"176\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-7.png\" alt=\"\" class=\"wp-image-285361\"\/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Tabel Logaritma<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Seorang ilmuwan bernama John Napier berhasil menyusun suatu tabel yang berisi nilai logaritma basis 10. Tabel itu dikenal sebagai tabel logaritma. Latar belakang penyusunan tabel ini adalah bagaimana cara mengubah bentuk perkalian menjadi penjumlahan, mengingat penjumlahan dirasa lebih mudah daripada perkalian. Adapun contoh tabel logaritma adalah sebagai berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"425\" height=\"274\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-8-.png\" alt=\"\" class=\"wp-image-285360\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-8-.png 425w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-8--300x193.png 300w\" sizes=\"(max-width: 425px) 100vw, 425px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Saat kamu diminta menghitung hasil perkalian antara 1,35 <\/span><span style=\"font-weight: 400;\">\u00d7<\/span><span style=\"font-weight: 400;\"> 2,17 menggunakan tabel logaritma, apakah kamu sudah bisa? Jika belum, ikuti panduannya berikut ini.<\/span><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><span style=\"font-weight: 400;\">Mula-mula, tentukan nilai pada tabel yang berhubungan langsung dengan nilai yang dikalikan.<\/span><\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"426\" height=\"276\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-9.png\" alt=\"\" class=\"wp-image-285359\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-9.png 426w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-9-300x194.png 300w\" sizes=\"(max-width: 426px) 100vw, 426px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><span style=\"font-weight: 400;\">Nilai yang berhubungan dengan bilangan yang dikalikan ditunjukkan dengan lingkaran warna merah.<\/span><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">1,35 <\/span><span style=\"font-weight: 400;\">-&gt;<\/span><span style=\"font-weight: 400;\"> 0,1303<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">2,17 <\/span><span style=\"font-weight: 400;\">-&gt;<\/span><span style=\"font-weight: 400;\"> 0,3365<\/span><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><span style=\"font-weight: 400;\">Dengan demikian, diperoleh hasil<\/span><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">1,35 <\/span><span style=\"font-weight: 400;\">\u00d7<\/span><span style=\"font-weight: 400;\"> 2,17 = 0,1303 + 0,3365 = 0,4668<\/span><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><span style=\"font-weight: 400;\">Nah, langkah terakhir coba kamu lihat, nilai 0,4668 berada di posisi sel yang mana?<\/span><\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"387\" height=\"309\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-10.png\" alt=\"\" class=\"wp-image-285358\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-10.png 387w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-10-300x240.png 300w\" sizes=\"(max-width: 387px) 100vw, 387px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Bilangan yang diberi kotak berwarna merah merupakan nilai logaritma dari 2,93.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jadi, 1,35 <\/span><span style=\"font-weight: 400;\">\u00d7<\/span><span style=\"font-weight: 400;\"> 2,17 <\/span><span style=\"font-weight: 400;\">\u2248<\/span><span style=\"font-weight: 400;\"> 2,93.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Mudah bukan?<\/span><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Penerapan Logaritma dalam Kehidupan<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Seperti pembahasan di awal artikel, terdapat beberapa aktivitas yang membutuhkan logaritma di dalamnya. Misalnya penghitungan bunga majemuk, penentuan interval spektrum audio, penentuan harga barang berdasarkan banyak sedikitnya permintaan, pembuatan vaksin saat munculnya suatu wabah penyakit, dan sebagainya.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Agar kamu semakin paham bagaimana logaritma itu bisa diterapkan dalam kehidupan, simak contoh soal berikut ini.<\/span><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Contoh Soal 4<\/strong><\/h3>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"592\" height=\"172\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-11.png\" alt=\"\" class=\"wp-image-285357\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-11.png 592w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-11-300x87.png 300w\" sizes=\"(max-width: 592px) 100vw, 592px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Diketahui:<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em><span style=\"font-weight: 400;\">f<\/span><\/em><sub><span style=\"font-weight: 400;\">1<\/span><\/sub><span style=\"font-weight: 400;\"> = 800 Hz<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em><span style=\"font-weight: 400;\">f<\/span><\/em><sub><span style=\"font-weight: 400;\">2<\/span><\/sub><span style=\"font-weight: 400;\"> = 6,4 kHz = 6.400 Hz<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"371\" height=\"213\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-12.png\" alt=\"\" class=\"wp-image-285356\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-12.png 371w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-12-300x172.png 300w\" sizes=\"(max-width: 371px) 100vw, 371px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jadi, intervalnya adalah 3 oktaf.<\/span><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Contoh Soal 5<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Hubungan antara harga (<\/span><em><span style=\"font-weight: 400;\">h<\/span><\/em><span style=\"font-weight: 400;\">) dalam ribuan rupiah dan permintaan <\/span><em><span style=\"font-weight: 400;\">x<\/span><\/em><span style=\"font-weight: 400;\"> unit barang tertentu dinyatakan sebagai <\/span><em><span style=\"font-weight: 400;\">h<\/span><\/em><span style=\"font-weight: 400;\">(<\/span><em><span style=\"font-weight: 400;\">x<\/span><\/em><span style=\"font-weight: 400;\">) = 11.500 \u2013 1.000 log (2<\/span><em><span style=\"font-weight: 400;\">x<\/span><\/em><span style=\"font-weight: 400;\"> \u2013 8). Jika banyaknya permintaan 504 unit, tentukan harga barang tersebut!<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Diketahui:<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em><span style=\"font-weight: 400;\">h<\/span><\/em><span style=\"font-weight: 400;\">(<\/span><em><span style=\"font-weight: 400;\">x<\/span><\/em><span style=\"font-weight: 400;\">) = 11.500 \u2013 1.000 log (2<\/span><em><span style=\"font-weight: 400;\">x<\/span><\/em><span style=\"font-weight: 400;\"> \u2013 8)<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em><span style=\"font-weight: 400;\">x<\/span><\/em><span style=\"font-weight: 400;\"> = 504<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Dengan mensubstitusikan <\/span><em><span style=\"font-weight: 400;\">x<\/span><\/em><span style=\"font-weight: 400;\"> = 504 pada persamaan tersebut, diperoleh:<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"278\" height=\"142\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-13.png\" alt=\"\" class=\"wp-image-285355\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\"> <\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jadi, harga barang tersebut adalah 8.500 rupiah.<\/span><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Contoh Soal 6<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Penyebaran suatu wabah penyakit yang disebabkan oleh virus di suatu daerah dinyatakan dengan fungsi berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"172\" height=\"76\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-14.png\" alt=\"\" class=\"wp-image-285354\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\"> <\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Variabel <\/span><em><span style=\"font-weight: 400;\">x<\/span><\/em><span style=\"font-weight: 400;\"> menyatakan banyaknya hari sejak wabah mulai menyerang. Sedangkan, variabel <\/span><em><span style=\"font-weight: 400;\">y<\/span><\/em><span style=\"font-weight: 400;\"> menyatakan jumlah orang yang terserang wabah. Vaksin untuk mengobati wabah tersebut sulit dibuat, sehingga banyaknya vaksin (<\/span><em><span style=\"font-weight: 400;\">v<\/span><\/em><span style=\"font-weight: 400;\">) yang dapat dihasilkan dalam <\/span><em><span style=\"font-weight: 400;\">t<\/span><\/em><span style=\"font-weight: 400;\"> hari adalah sebagai berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"161\" height=\"58\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-15.png\" alt=\"\" class=\"wp-image-285353\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jika vaksin baru dibuat oleh para ilmuwan pada hari ke-3 sejak wabah mulai menyerang, tentukan banyaknya vaksin saat jumlah orang yang terserang wabah 200 jiwa! (asumsikan bahwa belum ada orang yang sembuh atau meninggal)<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Berdasarkan soal, diperoleh informasi berikut.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jumlah orang yang terserang wabah (<\/span><em><span style=\"font-weight: 400;\">y<\/span><\/em><span style=\"font-weight: 400;\">) dalam <\/span><em><span style=\"font-weight: 400;\">x<\/span><\/em><span style=\"font-weight: 400;\"> hari:<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"171\" height=\"76\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-16.png\" alt=\"\" class=\"wp-image-285352\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Banyaknya vaksin (<\/span><em><span style=\"font-weight: 400;\">v<\/span><\/em><span style=\"font-weight: 400;\">) yang dihasilkan dalam <\/span><em><span style=\"font-weight: 400;\">t<\/span><\/em><span style=\"font-weight: 400;\"> hari:<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"143\" height=\"55\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-17.png\" alt=\"\" class=\"wp-image-285351\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Mula-mula, tentukan nilai <\/span><em><span style=\"font-weight: 400;\">x<\/span><\/em><span style=\"font-weight: 400;\"> saat jumlah orang yang terserang wabah 200 jiwa (<\/span><em><span style=\"font-weight: 400;\">y<\/span><\/em><span style=\"font-weight: 400;\"> = 200).<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"318\" height=\"351\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-18.png\" alt=\"\" class=\"wp-image-285350\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-18.png 318w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-18-272x300.png 272w\" sizes=\"(max-width: 318px) 100vw, 318px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Oleh karena vaksin baru dibuat oleh para ilmuwan pada hari ke-3 sejaka wabah mulai menyerang, maka saat <\/span><em><span style=\"font-weight: 400;\">x<\/span><\/em><span style=\"font-weight: 400;\"> = 20, nilai <\/span><em><span style=\"font-weight: 400;\">t<\/span><\/em><span style=\"font-weight: 400;\"> = 18.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Dengan demikian, banyaknya vaksin yang dihasilkan dalam <\/span><em><span style=\"font-weight: 400;\">t<\/span><\/em><span style=\"font-weight: 400;\"> = 18 hari adalah sebagai berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"152\" height=\"172\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-19.png\" alt=\"\" class=\"wp-image-285349\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Jadi, banyaknya vaksin saat jumlah orang yang terserang 200 jiwa adalah 80 buah.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Bagaimana Quipperian, sudah paham kan tentang logaritma beserta penerapannya dalam kehidupan?<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Itulah pembahasan Quipper Blog tentang logaritma, semoga bermanfaat buat Quipperian. Jangan lupa untuk tetap belajar meskipun masih di rumah saja. Agar belajarmu tidak membosankan, yuk gabung bareng <\/span><a href=\"https:\/\/subscribe.quipper.com\/signup\/id\"><strong>Quipper Video<\/strong><\/a><span style=\"font-weight: 400;\">.&nbsp;<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Quipper Video menyediakan konten belajar yang sangat menarik dan mudah untuk dipahami. Enggak<\/span> <span style=\"font-weight: 400;\">percaya? Ambil <\/span><em><span style=\"font-weight: 400;\">handphone-<\/span><\/em><span style=\"font-weight: 400;\">mu dan buktikan sendiri. Salam Quipper!<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Penulis: Eka Viandari<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Hai Quipperian, masih semangat belajar, kan? Semoga hari-hari kamu selalu bahagia dan menyenangkan, ya. Pada artikel ini, Quipper Blog akan membawamu ke dunia logaritma.&hellip;<\/p>\n","protected":false},"author":99400369,"featured_media":285373,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_monsterinsights_skip_tracking":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_wpcom_ai_launchpad_first_post":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_post_was_ever_published":false},"categories":[679384888,679384865],"tags":[],"ppma_author":[679386827,679386836],"class_list":["post-285347","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mapel","category-matematika"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Pengertian Logaritma Bentuk, Sifat dan Contoh Soal - Matematika Kelas 10 - Quipper Blog<\/title>\n<meta name=\"description\" content=\"Quipperian, yuk perdalam materi logaritma dengan mengikuti pembahasan Quipper Blog berikut ini! 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Ada contoh soalnya juga, lho.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.quipper.com\/id\/blog\/mapel\/matematika\/logaritma-matematika-kelas-10\/\" \/>\n<meta property=\"og:site_name\" content=\"Quipper Blog\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/QuipperVideoID\/\" \/>\n<meta property=\"article:published_time\" content=\"2020-11-02T14:43:04+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2023-02-09T15:23:12+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Logaritma-Matematika-Kelas-10-1.png\" \/>\n\t<meta property=\"og:image:width\" content=\"800\" \/>\n\t<meta property=\"og:image:height\" content=\"533\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"sereliciouz, Pamela Natasa, S.Pd.\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@quipper_id\" \/>\n<meta name=\"twitter:site\" content=\"@quipper_id\" \/>\n<meta name=\"twitter:label1\" content=\"Ditulis oleh\" \/>\n\t<meta name=\"twitter:data1\" content=\"sereliciouz\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimasi waktu membaca\" \/>\n\t<meta name=\"twitter:data2\" content=\"8 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/www.quipper.com\\\/id\\\/blog\\\/mapel\\\/matematika\\\/logaritma-matematika-kelas-10\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/mapel\\\/matematika\\\/logaritma-matematika-kelas-10\\\/\"},\"author\":{\"name\":\"sereliciouz\",\"@id\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/#\\\/schema\\\/person\\\/b08224c7b72a87b156db30c3b032083b\"},\"headline\":\"Pengertian Logaritma Bentuk, Sifat dan Contoh Soal &#8211; Matematika Kelas 10\",\"datePublished\":\"2020-11-02T14:43:04+00:00\",\"dateModified\":\"2023-02-09T15:23:12+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/mapel\\\/matematika\\\/logaritma-matematika-kelas-10\\\/\"},\"wordCount\":693,\"publisher\":{\"@id\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/www.quipper.com\\\/id\\\/blog\\\/mapel\\\/matematika\\\/logaritma-matematika-kelas-10\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/wp-content\\\/uploads\\\/2020\\\/11\\\/Logaritma-Matematika-Kelas-10-1.png\",\"articleSection\":[\"Mapel\",\"Matematika\"],\"inLanguage\":\"id\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/mapel\\\/matematika\\\/logaritma-matematika-kelas-10\\\/\",\"url\":\"https:\\\/\\\/www.quipper.com\\\/id\\\/blog\\\/mapel\\\/matematika\\\/logaritma-matematika-kelas-10\\\/\",\"name\":\"Pengertian Logaritma Bentuk, Sifat dan Contoh Soal - Matematika Kelas 10 - Quipper Blog\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/www.quipper.com\\\/id\\\/blog\\\/mapel\\\/matematika\\\/logaritma-matematika-kelas-10\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/www.quipper.com\\\/id\\\/blog\\\/mapel\\\/matematika\\\/logaritma-matematika-kelas-10\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/wp-content\\\/uploads\\\/2020\\\/11\\\/Logaritma-Matematika-Kelas-10-1.png\",\"datePublished\":\"2020-11-02T14:43:04+00:00\",\"dateModified\":\"2023-02-09T15:23:12+00:00\",\"description\":\"Quipperian, yuk perdalam materi logaritma dengan mengikuti pembahasan Quipper Blog berikut ini! 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