Simple Logarithmic Equation Clarification.

Hi all,

Just another logarithmic question here. I need to solve logx (3) = 1/2 for x and I am not sure why the answer is 9. I think it has something to do with square roots, but I am not confident of the logical order in which that would appear.

From the above I gather that x is the base, 1/2 is the power, and 3 is the numeral found.

So:

x (to the power of 1/2) = 3.

I am just not sure why one would have to square root 9.

Sorry if it is a silly question. Any help much appreciated!

Thanks,

Nathaniel