[tex] log_{2}(2x - 1) = 5 \\ log_{2}(2x - 1) = log_{2}( {2}^{5} ) \\ 2x - 1 = {2}^{5} \\ 2x - 1 = 32 \\ 2x = 32 + 1 \\ 2x = 33 \\ x = 33 \div 2 \\ x = 16.5[/tex]