Question

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

Answer 1

(B) 4096. is the correct answer!

Answer 2

`x=4096`, Option B

Explanation:

Given,
`\log_(8)x=4`

Formula needed,

`\log_(a)b=(\log b)/(\log a)`

Therefore,

`\log_(8)x=(\log x)/(\log 8)`

`(\log x)/(\log 8)=4`

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

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

`x=8^4`

`x=4096`

Option B is correct.