Question

What is the solution to the equation below? (Round your answer to twodecimal places.)e^x= 7.1

Answer 1

`x=1.96`

Explanation:

To solve the following equation:

`e^x=7.1`

To isolate an Euler, we must take the logarithm of both sides to solve the exponent.

`\begin{gathered} \log (2.718282^x)=\log (7.1) \\ x\cdot(\log (2.718282^x))=\log (7.1) \end{gathered}`

Solve for x.

`\begin{gathered} x=(\log (7.1))/(\log (2.718282)) \\ x=1.96 \end{gathered}`