Question

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

Answer 1

Answer:

$x=1.96$

Step-by-step 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.

$\begin{gathered} x=\frac{\log (7.1)}{\log (2.718282)} \\ x=1.96 \end{gathered}$