Answer
$x=\frac{16}{5} = 3.2$
Work Step by Step
RECALL:
$\log_a{x} = y \longrightarrow a^y=x$
Use the rule above to obtain:
$\log_2{(5x)} = 4
\\\longrightarrow 2^4=5x
\\16=5x
\\\frac{16}{5}=x
\\x=\frac{16}{5} = 3.2$
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.