## College Algebra (6th Edition)

$x=\frac{1}{2}$
Use the law of exponents ($b^n\times b^m=b^{n+m}$) to add the exponents together. Then rewrite $125$ to have base $5$. With the bases equal, set the exponents equal to each other and solve. $5^{2x}\times5^{4x}=125$ $5^{6x}=125$ $5^{6x}=5^3$ $6x=3$ $x=\frac{1}{2}$