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

Question

asked Apr 25, 2024 199k views

1 Answer

Dori Naji · Answer 1 · 2024-05-01T01:22:51+0000

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