## College Algebra (10th Edition)

$x=-4$
To solve the given equation, make the two sides have the same base. Note that $\frac{1}{5} = 5^{-1}$ so the given equation is equivalent to: $5^{x+3} = 5^{-1}$ Use the rule $a^m=a^n \longrightarrow m=n$ to obtain: $x+3 = -1$ Subtract 3 to both sides of the equation to obtain: $x=-1-3 \\x=-4$