Question

What is the solution to the equation below?

Answer 1

Answer:

$x=4096$, Option B

Step-by-step explanation:

Given, $\log_{8}x=4$

Formula needed,

$\log_{a}b=\frac{\log b}{\log a}$

Therefore,

$\log_{8}x=\frac{\log x}{\log 8}$

$\frac{\log x}{\log 8}=4$

${\log x}=4{\log 8}$

$\log x={\log 8^4}$

$x=8^4$

$x=4096$

Option B is correct.