Answer:
2.19
Step-by-step explanation:
[tex] {5}^{2x - 1} = {12}^{x} \\ \\ taking \: log \: on \: both \: sides \\ \\ log {5}^{2x - 1} = log {12}^{x} \\ \\ (2x - 1)log {5} = x \: log \: 12 \\ \\ 2x \: log \: 5 - log \: 5 = x \: log \: 12 \\ \\ x \: log \: 5 ^{2} -x \: log \: 12 = log \: 5 \\ \\ x \: (log \: 25 -log \: 12) = log \: 5 \\ \\ \\ x = \frac{log \: 5 }{(log \: 25 -log \: 12) } \\ \\ x = \frac{0.698970004}{1.39794001 -1.07918125 } \\ \\ x = \frac{0.698970004}{0.318758763 } \\ \\ x = 2.19278679 \\ \\ x \approx 2.19[/tex]
