Iklan

Iklan

Pertanyaan

Diketahui 2 ​ lo g 3 = p dan 5 ​ lo g 2 = q . Jika 45 ​ lo g 36 dinyatakan dalam p dan q , maka adalah ....

Diketahui . Jika  dinyatakan dalam  dan  maka begin mathsize 14px style log presubscript presuperscript 45 invisible function application 36 end style adalah ....

  1. begin mathsize 14px style fraction numerator 2 p q plus 2 over denominator 2 p q plus q end fraction end style 

  2. fraction numerator size 14px 2 size 14px p size 14px q size 14px plus size 14px 2 size 14px q over denominator size 14px 2 size 14px p size 14px q size 14px plus size 14px 1 end fraction 

  3. fraction numerator size 14px p size 14px q size 14px plus size 14px 2 size 14px q over denominator size 14px p size 14px q size 14px plus size 14px 1 end fraction 

  4. fraction numerator size 14px p size 14px q size 14px plus size 14px 1 over denominator size 14px p size 14px q end fraction 

Iklan

M. Robo

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepatadalah B.

jawaban yang tepat adalah B.

Iklan

Pembahasan

Ingat bahwa dengan dan adalah bilangan positif serta dan sehingga Jadi, jawaban yang tepatadalah B.

Ingat bahwa

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell log presubscript presuperscript a invisible function application b end cell equals cell fraction numerator log presubscript presuperscript k invisible function application b over denominator log presubscript presuperscript k invisible function application b end fraction end cell row cell log presubscript presuperscript a invisible function application b end cell equals cell fraction numerator 1 over denominator log presubscript presuperscript b invisible function application a end fraction end cell row cell log presubscript presuperscript a invisible function application b plus log presubscript presuperscript a invisible function application c end cell equals cell log presubscript presuperscript a invisible function application b times c end cell row cell log presubscript presuperscript a invisible function application b to the power of m end cell equals cell m times log presubscript presuperscript a invisible function application b end cell row cell log presubscript presuperscript a invisible function application b times log presubscript presuperscript b invisible function application c end cell equals cell log presubscript presuperscript a invisible function application c end cell end table end style  

dengan begin mathsize 14px style a comma end style size 14px b size 14px comma dan size 14px k adalah bilangan positif serta begin mathsize 14px style a not equal to 1 end style dan begin mathsize 14px style b not equal to 1 end style sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell log presubscript presuperscript 45 invisible function application 36 end cell equals cell fraction numerator log presubscript presuperscript 3 invisible function application 36 over denominator log presubscript presuperscript 3 invisible function application 45 end fraction end cell row blank equals cell fraction numerator log presubscript presuperscript 3 invisible function application 9 times 4 over denominator log presubscript presuperscript 3 invisible function application 9 times 5 end fraction end cell row blank equals cell fraction numerator log presubscript presuperscript 3 invisible function application 9 plus log presubscript presuperscript 3 invisible function application 4 over denominator log presubscript presuperscript 3 invisible function application 9 plus log presubscript presuperscript 3 invisible function application 5 end fraction end cell row blank equals cell fraction numerator 2 plus log presubscript presuperscript 3 invisible function application 2 squared over denominator 2 plus log presubscript presuperscript 3 invisible function application 2 times log presubscript presuperscript 2 invisible function application 5 end fraction end cell row blank equals cell fraction numerator 2 plus 2 times log presubscript presuperscript 3 invisible function application 2 over denominator 2 plus fraction numerator 1 over denominator log presubscript presuperscript 2 invisible function application 3 end fraction times fraction numerator 1 over denominator log presubscript presuperscript 5 invisible function application 2 end fraction end fraction end cell row blank equals cell fraction numerator 2 plus 2 times fraction numerator 1 over denominator log presubscript presuperscript 2 invisible function application 3 end fraction over denominator 2 plus 1 over p times 1 over q end fraction end cell row blank equals cell fraction numerator 2 plus 2 over p over denominator 2 plus fraction numerator 1 over denominator p q end fraction end fraction end cell row blank equals cell fraction numerator fraction numerator 2 p plus 2 over denominator p end fraction over denominator fraction numerator 2 p q plus 1 over denominator p q end fraction end fraction end cell row blank equals cell fraction numerator 2 p q plus 2 q over denominator 2 p q plus 1 end fraction end cell end table end style  

Jadi, jawaban yang tepat adalah B.

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

38

Iklan

Iklan

Pertanyaan serupa

Diketahui 2 ​ lo g 3 = p dan 3 ​ lo g 5 = q .Jika 75 ​ lo g 60 dinyatakan dalam p dan q , maka adalah ....

39

0.0

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