21tykawa
21tykawa 21tykawa
  • 12-02-2020
  • Mathematics
contestada

What is the solution to the equation below?

log8 x = 4

A. x = 1.5
B. x = 4096.
C. x = 0.67
D. x = 65,536

Respuesta :

codiepienagoya codiepienagoya
  • 12-02-2020

Answer:

[tex]x=4096[/tex], Option B

Step-by-step explanation:

Given, [tex]\log_{8}x=4[/tex]

Formula needed,

[tex]\log_{a}b=\frac{\log b}{\log a}[/tex]

Therefore,

[tex]\log_{8}x=\frac{\log x}{\log 8}[/tex]

[tex]\frac{\log x}{\log 8}=4[/tex]

[tex]{\log x}=4{\log 8}[/tex]

[tex]\log x={\log 8^4}[/tex]

[tex]x=8^4[/tex]

[tex]x=4096[/tex]

Option B is correct.

Answer Link
episodediamond13
episodediamond13 episodediamond13
  • 24-05-2021

(B) 4096. is the correct answer!

Answer Link

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