### Home > PC > Chapter 1 > Lesson 1.2.1 > Problem1-71

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.

1. $8^{(x+ 3)} = 32$

$(2^3)^{(x+3)}=2^5$

1. $27 ^ { 2 x } = ( \frac { 1 } { 9 } ) ^ { ( x - 1 ) }$

$(3^3)^{2x}=(3^{-2})^{(x-1)}$

1. $( \frac { 1 } { 125 } ) ^ { ( 2 x - 3 ) } = \frac { 1 } { 25 }$

$(5^{-3})^{(2x-3)}=5^{-2}$