Question

Find the value of x.

log 2 x = 3

A. 5

B. 6

C. 8

D. 9

Answer 1

Answer: Option C

`x =8`

Explanation:

To solve this problem use the properties of the logarithms.

We know that the inverse function of
`y = log_2 (x)` is
`y = 2 ^ x`.

So when composing the function with its inverse function we have to:

`2 ^ {log_2 (x)} = x`.

Now apply this property on both sides of the equation

`log_2(x) = 3\\\\2^(log_2(x))=2^3\\\\x = 2^3\\\\x = 8`

the answer is the option C