Iklan

Pertanyaan

Nilai x yang memenuhi persamaan adalah ....

Nilai x yang memenuhi persamaan begin mathsize 14px style log presubscript blank presuperscript 3 invisible function application log presubscript blank presuperscript 3 invisible function application open parentheses 3 to the power of x plus 2 end exponent plus 10 close parentheses equals log presubscript blank presuperscript 3 invisible function application 2 plus log presubscript blank presuperscript 3 invisible function application x end style adalah ....

  1. begin mathsize 14px style x equals log presubscript blank presuperscript blank invisible function application 3 end style  

  2. size 14px x size 14px equals size 14px log presubscript blank presuperscript blank size 14px invisible function application size 14px 2  

  3. size 14px x size 14px equals size 14px log presubscript blank presuperscript size 14px 3 size 14px invisible function application size 14px 10  

  4. size 14px x size 14px equals size 14px log presubscript blank presuperscript size 14px 3 size 14px invisible function application size 14px 2  

  5. size 14px x size 14px equals size 14px 1  

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

00

:

18

:

49

:

46

Klaim

Iklan

S. Dwi

Master Teacher

Jawaban terverifikasi

Pembahasan

Pertama-tama perhatikan syarat pada soal Kemudian, Misalkan , maka Maka, jawaban yang memenuhi adalah

Pertama-tama perhatikan syarat pada soal

size 14px x size 14px greater than size 14px 0

Kemudian, 

table attributes columnalign right center left columnspacing 0px end attributes row cell size 14px log presubscript blank presuperscript size 14px 3 size 14px invisible function application size 14px log presubscript blank presuperscript size 14px 3 size 14px invisible function application begin mathsize 14px style left parenthesis 3 to the power of x plus 2 end exponent plus 10 right parenthesis end style end cell size 14px equals cell size 14px log presubscript blank presuperscript size 14px 3 size 14px invisible function application size 14px 2 size 14px plus size 14px log presubscript blank presuperscript size 14px 3 size 14px invisible function application size 14px x end cell row cell size 14px log presubscript blank presuperscript size 14px 3 size 14px invisible function application size 14px log presubscript blank presuperscript size 14px 3 size 14px invisible function application begin mathsize 14px style left parenthesis 3 to the power of x plus 2 end exponent plus 10 right parenthesis end style end cell size 14px equals cell size 14px log presubscript blank presuperscript size 14px 3 size 14px invisible function application size 14px 2 size 14px x end cell row cell size 14px log presubscript blank presuperscript size 14px 3 size 14px invisible function application begin mathsize 14px style left parenthesis 3 to the power of x plus 2 end exponent plus 10 right parenthesis end style end cell size 14px equals cell size 14px 2 size 14px x end cell row cell size 14px 3 to the power of size 14px x size 14px plus size 14px 2 end exponent size 14px plus size 14px 10 end cell size 14px equals cell size 14px 3 to the power of size 14px 2 size 14px x end exponent end cell row cell size 14px 3 to the power of size 14px x size 14px times size 14px 3 to the power of size 14px 2 size 14px plus size 14px 10 end cell size 14px equals cell begin mathsize 14px style left parenthesis 3 to the power of x right parenthesis end style to the power of size 14px 2 end cell row cell size 14px 3 to the power of size 14px x size 14px times size 14px 9 size 14px plus size 14px 10 end cell size 14px equals cell begin mathsize 14px style left parenthesis 3 to the power of x right parenthesis end style to the power of size 14px 2 end cell end table  

Misalkan begin mathsize 14px style 3 to the power of x equals a end style, maka 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 9 a plus 10 end cell equals cell a squared end cell row cell a squared minus 9 a minus 10 end cell equals 0 row cell open parentheses a plus 1 close parentheses open parentheses a minus 10 close parentheses end cell equals 0 end table end style  

begin mathsize 14px style a equals negative 1 space atau space straight a equals 10 end style 

begin mathsize 14px style a equals negative 1 rightwards arrow 3 to the power of x equals negative 1 space left parenthesis tidak space ada space nilai space straight x space yang space memenuhi right parenthesis straight a equals 10 rightwards arrow 3 to the power of straight x equals 10 rightwards arrow straight x equals log presubscript blank presuperscript 3 invisible function application 10 end style  

Maka, jawaban yang memenuhi adalah begin mathsize 14px style x equals log presubscript blank presuperscript 3 invisible function application 10 end style 

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

1

Iklan

Pertanyaan serupa

Tentukan penyelesaian persamaan logaritma berikut: a. 4 lo g ( x − 4 ) + 4 lo g ( x − 2 ) = 2 3 ​

1

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

[email protected]

Contact 02130930000

02130930000

Ikuti Kami

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