# How do you solve #27^(x-3)=1/9#?

##### 1 Answer

Nov 29, 2015

Express as powers of

#### Explanation:

If

So:

#3^(3(x-3)) = (3^3)^(x-3) = 27^(x-3) = 1/9 = 3^-2#

Since

#3(x-3) = -2#

Hence:

#3x = -2+9 = 7#

So