How do you solve log_b 9=2?

1 Answer
Dec 10, 2015

b= 3
Change to the exponential form as explained below.

Explanation:

Given log_b9= 2

Change this equation to its exponential form, since

log_ax= y iff a^y = x

log_b9=2

b^2= 9
b^ 2= 3^2
b= 3

Remember, if the exponents are the same, then the answer is the base.