Iklan

Pertanyaan

Nilai dari 9 lo g 25. 5 lo g 2 − 3 lo g 18 adalah...

Nilai dari  adalah...

  1. -3

  2. -2

  3. -1

  4. 2

  5. 3

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

02

:

13

:

24

:

50

Klaim

Iklan

N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Jawaban

nilai dari adalah -2

nilai dari log presuperscript 9 space 25 space. space log presuperscript 5 space 2 space minus log presuperscript 3 space 18 adalah -2

Pembahasan

Ingatkembalisifat-sifatlogaritmaberikutini: Denganmenggunakansifatdi atas,diperoleh: Jadi, nilai dari adalah -2

Ingat kembali sifat-sifat logaritma berikut ini: 

log presuperscript a space a equals 1 log presuperscript a space b to the power of m equals m over n log presuperscript a space b log presuperscript a space b. space log presuperscript b space c space equals log presuperscript a space c log presuperscript a space space b space. space c space equals log presuperscript a space b space log presuperscript a space c

Dengan menggunakan sifat di atas, diperoleh: 

log presuperscript 9 space 25 space. space log presuperscript 5 space 2 space minus space log presuperscript 3 space 18 equals to the power of 3 squared end exponent log space 5 squared space. space log presuperscript 5 space 2 space minus space log presuperscript 3 space 9 space. space 2 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 2 over 2 log presuperscript 3 space 5. space log presuperscript 5 space 2 minus left parenthesis log presuperscript 3 space 9 space plus log presuperscript 3 space 2 right parenthesis space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space log presuperscript 3 space 5 space. space log presuperscript 5 space 2 minus log presuperscript 3 space 3 squared minus log presuperscript 3 space 2 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals log presuperscript 3 space 2 minus 2 space log presuperscript 3 space 3 minus log presuperscript 3 space 2 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals negative 2 log presuperscript 3 space 3 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals negative 2

Jadi, nilai dari log presuperscript 9 space 25 space. space log presuperscript 5 space 2 space minus log presuperscript 3 space 18 adalah -2

Perdalam pemahamanmu bersama Master Teacher
di sesi Live Teaching, GRATIS!

12

Iklan

Pertanyaan serupa

Nilai dari 5 lo g 25 1 ​ + 3 lo g 8 ⋅ 2 lo g 9 adalah....

1

4.5

Jawaban terverifikasi

RUANGGURU HQ

Jl. Dr. Saharjo No.161, Manggarai Selatan, Tebet, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12860

Coba GRATIS Aplikasi Roboguru

Coba GRATIS Aplikasi Ruangguru

Download di Google PlayDownload di AppstoreDownload di App Gallery

Produk Ruangguru

Hubungi Kami

Ruangguru WhatsApp

+62 815-7441-0000

Email info@ruangguru.com

[email protected]

Contact 02140008000

02140008000

Ikuti Kami

©2025 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia