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.
