Question

What is the solution to the equation below? Round your answer to two decimal places.23x = 91A.x = 0.05B.x = 6.51C.x = 0.46D.x = 2.17

Answer 1

The equation given is

`2^{\left\{3x\right\}}=91`

Evaluate for x

`\begin{gathered} Apply\text{ exponent rules} \\ 3x\ln \left(2\right)=\ln \left(91\right) \\ x=(\ln\left(91\right))/(3\ln\left(2\right))=2.16926\approx2.17 \end{gathered}`

Hence, Option D is the correct answer.