Iklan

Iklan

Pertanyaan

Nilai 1 + 3 lo g 4 ( 3 lo g 36 ) 2 − ( 3 lo g 4 ) 2 ​ adalah...

Nilai  adalah...

  1. 2 

  2. 4 

  3. 8 

  4. 12 

  5. 18 

Iklan

R. Hajrianti

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah B.

jawaban yang benar adalah B.

Iklan

Pembahasan

Ingat sifat logaritma berikut! Jadi, nilai logaritma di atas adalah . Oleh karena itu, jawaban yang benar adalah B.

Ingat sifat logaritma berikut!

table attributes columnalign right center left columnspacing 0px end attributes row cell log presuperscript a space b c end cell equals cell log presuperscript a space b plus log presuperscript a space c end cell row cell log presuperscript a space b over c end cell equals cell log presuperscript a space b minus log presuperscript a space c end cell end table 

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator open parentheses log presuperscript 3 space 36 close parentheses squared minus open parentheses log presuperscript 3 space 4 close parentheses squared over denominator 1 plus log presuperscript 3 space 4 end fraction end cell equals cell fraction numerator open parentheses log presuperscript 3 space 36 plus log presuperscript 3 space 4 close parentheses open parentheses log presuperscript 3 space 36 minus log presuperscript 3 space 4 close parentheses over denominator 1 plus log presuperscript 3 space 4 end fraction end cell row blank equals cell fraction numerator open parentheses log presuperscript 3 space 36 cross times 4 close parentheses open parentheses log presuperscript 3 space begin display style 36 over 4 end style close parentheses over denominator 1 plus log presuperscript 3 space 4 end fraction end cell row blank equals cell fraction numerator open parentheses log presuperscript 3 space 144 close parentheses open parentheses log presuperscript 3 space 9 close parentheses over denominator 1 plus log presuperscript 3 space 4 end fraction end cell row blank equals cell fraction numerator open parentheses log presuperscript 3 space 16 cross times 9 close parentheses open parentheses log presuperscript 3 space 3 squared close parentheses over denominator 1 plus log presuperscript 3 space 4 end fraction end cell row blank equals cell fraction numerator open parentheses log presuperscript 3 space 16 cross times 9 close parentheses open parentheses 2 cross times log presuperscript 3 space 3 close parentheses over denominator 1 plus log presuperscript 3 space 4 end fraction end cell row blank equals cell fraction numerator open parentheses log presuperscript 3 space 16 cross times 9 close parentheses open parentheses 2 cross times 1 close parentheses over denominator 1 plus log presuperscript 3 space 4 end fraction end cell row blank equals cell fraction numerator 2 cross times open parentheses log presuperscript 3 space 16 plus log presuperscript 3 space 9 close parentheses over denominator 1 plus log presuperscript 3 space 4 end fraction end cell row blank equals cell fraction numerator 2 cross times open parentheses log presuperscript 3 space 4 squared plus log presuperscript 3 space 3 squared close parentheses over denominator 1 plus log presuperscript 3 space 4 end fraction end cell row blank equals cell fraction numerator 2 cross times open parentheses log presuperscript 3 space 4 squared plus log presuperscript 3 space 3 squared close parentheses over denominator 1 plus log presuperscript 3 space 4 end fraction end cell row blank equals cell fraction numerator 2 cross times open parentheses 2 cross times log presuperscript 3 space 4 plus 2 cross times log presuperscript 3 space 3 close parentheses over denominator 1 plus log presuperscript 3 space 4 end fraction end cell row blank equals cell fraction numerator 2 cross times open parentheses 2 log presuperscript 3 space 4 plus 2 close parentheses over denominator 1 plus log presuperscript 3 space 4 end fraction end cell row blank equals cell fraction numerator 4 cross times open parentheses log presuperscript 3 space 4 plus 1 close parentheses over denominator 1 plus log presuperscript 3 space 4 end fraction end cell row blank equals 4 end table 

Jadi, nilai logaritma di atas adalah 4

Oleh karena itu, jawaban yang benar adalah B.

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

20

Iklan

Iklan

Pertanyaan serupa

Tentukanlah nilai dari: ( 0 , 9576 ) 2 ( 8743 ) 728 , 2 ​ ( 38 , 74 ) ​

1

5.0

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

info@ruangguru.com

Contact 02140008000

02140008000

Ikuti Kami

©2024 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia