Question

Solve for x, rounding to the nearest hundredth.

Answer 1

$\sf\huge{Answer :-}$

$\implies\sf{ {2}^{4x} = 78 } \\ \implies\sf{ ({2}^{4})^{x} = 78 } \\ \implies\sf{ {16}^{x} = 78 } \\ \: \: \: \: \: \: \: \: \: \: \: \implies\sf{ x = log_{16}(78) } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \implies\sf{x = 1.5713505547\: } \\\implies\sf{x = 1.57}$