Write the equation in its equivalent exponential form. log b 9 = 2 or log(b,9)=2

Question

I wrote the equation in two ways in case you don't understand one over the computer. They are both the same equation. 

Answer 1

Just to be clear, it looks like you meant:

Log_b 9 = 2

 

If so, this will be easy. The "base" of a logarithm is also the "base" of the exponential. The two forms simply switch elements. What I mean is that the answer to one is the question in the other:

 

B² = 9

You didn't mention solving, but just in case, you would merely take a square root on both sides, resulting in

B = ±3

A square root need not be both signs, but if you take an even root that wasn't there before, you must add the dual signs. One catch: if you plug in both versions, does either of them fail as an answer?