Log base 3 (1/9) = x

What is x?

Log base 3 (1/9) = x

rewriting the equation in exponential form, we get:

3 ^x = 1/9

now,

Guess and check.

x = - 1

3^-1 = 1/3

this doesn't work.

x = - 2

3^-2 = 1/3^2

= 1/9

this works.

so x = - 2