Answer
$x=\dfrac{25}{2}$
Work Step by Step
Using properties of logarithms, then,
\begin{array}{l}
\log_52+\log_5x=2\\\\
\log_5(2x)=2\\\\
5^2=2x\\\\
2x=25\\\\
x=\dfrac{25}{2}
.\end{array}
You can help us out by revising, improving and updating this answer.
Update this answerAfter 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.