CPM Homework Help : PCT Problem 1-71

Solve each of the following equations for $x$ by first expressing each side with the same base. Give exact answers using fractions not decimals.

$27 ^ { 2 x } = ( \frac { 1 } { 9 } ) ^ { ( x - 1 ) }$
Step (b):
$(3^3)^{2x}=(3^{-2})^{(x-1)}$

$( \frac { 1 } { 125 } ) ^ { ( 2 x - 3 ) } = \frac { 1 } { 25 }$
Step (c):
$(5^{-3})^{(2x-3)}=5^{-2}$