Answer
$x=7.75$
Work Step by Step
Use the definition of the log function to solve for $x$. Rewrite the problem so that the base has the exponent of the opposite side and is equal to the log's number and/or variable.
$\log_2(4x+1)=5$
$2^5=4x+1$
$2^5-1=4x$
$x=\frac{31}{4}$
$x=7.75$
