Answer
Exact solution: $x = \dfrac{\dfrac{\ln 4}{\ln 3} - 5}{2}$
Four-decimal-place approximation: $x = -1.8691$
Work Step by Step
$3^{2x+5} = 4$
$\ln 3^{2x+5} = \ln 4$
$(2x+5)\ln 3 = \ln 4$
$2x+5 = \dfrac{\ln 4}{\ln 3}$
$2x = \dfrac{\ln 4}{\ln 3} - 5$
$x = \dfrac{\dfrac{\ln 4}{\ln 3} - 5}{2}$
$x = -1.8691$
