Question

9. Solve the following exponential equation. Round your answer to three decimal places.7^x=88 x =

Answer 1

For the exponential equation given;

`7^x=88`

We shall use the natural logarithm to evaluate as follows;

`\begin{gathered} x=(\ln (88))/(\ln (7)) \\ \ln 88=4.477 \\ \ln 7=1.946 \\ x=(4.477)/(1.946) \\ x=2.30089 \\ x\approx2.301\text{ (to 3 decimal places)} \end{gathered}`

ANSWER:

The value of x equals 2.301 (rounded to 3 decimal places)