[tex]\sf\huge{Answer :-}[/tex]
[tex]\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}[/tex]
