# Chapter 4 - Exponential and Logarithmic Functions - Exercise Set 4.4: 93

$x=\frac{1}{2}$

#### Work Step by Step

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. $5^{2x}\times5^{4x}=125$ $5^{6x}=125$ $5^{6x}=5^3$ $6x=3$ $x=\frac{1}{2}$

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.