Answer
$x\approx 0.9307$
Work Step by Step
Use a graphing utility to graph the functions $y=5^{2x}$(refer to the black graph below) and $y=20$ (refer to the red graph).
Use the graphing utility's table of values function (refer to the attached image below for the table).
Thus, the solution rounded to the nearest ten-thousdandths is $x\approx 0.9307$.
