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}`