## Algebra: A Combined Approach (4th Edition)

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