Solve for the missing variable.

Question

Your answer must be rounded to the nearest two decimal places. e^x = 8

5.72

4.33

2.08

.92

Answer 1

To solve for \( x \) in the equation \( e^x = 8 \), we can take the natural logarithm (ln) of both sides:

\[ x = \ln(8) \]

Now, we can calculate \( \ln(8) \):

Using a calculator, we find:

\[ \ln(8) \approx 2.0794 \]

Rounding this to the nearest two decimal places, we get:

\[ x \approx 2.08 \]

Thus, the answer is:

2.08