Question

solve the following logarithmic equation, using a calculator if necessary to evaluate the logarithm. write your answer as a fraction or round your answer to one decimal place.

\ln(e^x) = 6.1

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3 points

x =

Explanation:

Step1: Use logarithm property

Recall that $\ln(e^a)=a$ for any real number $a$. So for $\ln(e^x)$, by this property, $\ln(e^x) = x$.

Step2: Solve for x

The equation is $\ln(e^x)=6.1$. Substituting the property from Step 1, we get $x = 6.1$.

Answer:

$x = 6.1$