Question

What is 2^4x=78 rounded by the nearest hundredth

Answer 1

`\begin{gathered} 2^(4x)=78,\text{ applying natural logarithm to both sides} \\ \ln (2^(4x))=\ln (78) \\ 4x\ln (2)=\ln (78) \\ 4x=(\ln(78))/(\ln(2)) \\ \\ x=(\ln(78))/(4\ln(2)) \\ \\ x=1.5713505547155620854626378995511278105970627023708796074985540450 \\ \\ x\approx1.57 \end{gathered}`

the answer is 1.57