Question

Given 2^a = 16 find the value of a.
Please explain thanks. ​

Answer 1

Explanation:

`2 {}^(a) = 16`

Since our variable is in the exponent, we take the logarithm of both sides in order to solve for a.

The log base is 2 In order to cancel out base 2,

`a = log_(2)(16)`

`a = 4`