Question

Find x.
9^2x = 27^x-1
Can someone walk me through this?

Answer 1

\(\huge 9^{2x}=27^{x-1}\)

Answer 2

to solve for x, you need first to have the same base

Answer 3

\[9^{2x}=27^{x-1} \]

can also be written as \[3^{(2)(2x)} =3^{(3)(x-1)}\]

Answer 4

\[(3^2)^(2x) = (3^3)^(x-1)\]

Answer 5

4x=3x - 3

then you can go find x

Answer 6

x = -3?
@kaiz122

Answer 7

yes.

Answer 8

Thanks!

Answer 9

NP :)