Question

9^x-4 = (1/27)

Answer 1

I would recommend using the common base of 3. Also 1/27 = 27^-1, that should help.

See if you can start the question using that.

Answer 2

how is 1/27 = 27^1 ?

Answer 3

It's 27^-1. The negative is important

Answer 4

Okay I'm lost of what to do next , I've put down the 9^x-4 = 27^-1

Answer 5

So do the left side first, how you you get 9^x-4 to have a base of 3?

Answer 6

3^2 ? and for 27 it's 3^3 ?

Answer 7

Yes, great, so now distribute the ^2 and the ^3 to their respective exponents.

Answer 8

I got 5/2 ?

Answer 9

Yeah, that's right. You can double check yourself using the original equation.