## College Algebra 7th Edition

$x=4$
Since $125=5^3$, the given equation is equivalent to: $5^{x-1} = 5^3$ Use the property $a^m = a^n \longrightarrow m=n$ to obtain: $\begin{array}{ccc} &x-1&=&3 \\&x-1+1&=&3+1 \\&x&=&4 \end{array}$