[tex]2^{5x + 3} = 3^{2x + 1}[/tex]
[tex]log_{2}(2^{5x + 3}) = log_{2}(3^{2x + 1})[/tex]
[tex](5x + 3)log_{2}(2) = (2x + 1)log_{2}(3)[/tex]
[tex]5x + 3 = 1.58(2x + 1)[/tex]
[tex]5x + 3 = 3.16x + 1.58[/tex]
[tex]1.84x + 3 = 1.58[/tex]
[tex]1.84x = -1.42[/tex]
[tex]x \approx -0.77[/tex]
