### Home > PC3 > Chapter 3 > Lesson 3.1.4 > Problem3-59

3-59.

Solve each of the following equations 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. $27^{2x}=\left(\frac{1}{9}\right)^{(x-1)}$

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

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

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