Ican't seem to figure out what numbers to use to solve this equation.

Hello!

The first thing you should notice is that the exponent will be less than 1, as raising 27 to any power greater than 1 will make it larger, and you're trying to figure out what makes it equal to 3, a number less than 27.

Raising a number to a fractional power is taking its nth root: is , so you'll really need to take the nth root of 27 to get 3. To figure out which root, write the number in exponential form with a base of 3:

= 3
=

Now, the bases are the same (they are both 3), so you can set the exponents equal to each other:

3x = 1

Divide both sides by 3 and you've isolated x: