Answer
$x=\dfrac{2 \ln 3}{(\ln 5 -\ln 3)}$
Work Step by Step
We need to take the logarithm of both sides.
$x \ln 5 =(x+2) \ln 3$
This equation can be equivalent to:
$x \ln 5 =x \ln 3 + 2 \ln 3$
This implies that
$x (\ln 5 -\ln 3) = 2\ln 3$
Thus, we have:
$x=\dfrac{2 \ln 3}{(\ln 5 -\ln 3)}$
