Respuesta :

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.

(B) 4096. is the correct answer!