Question

question 4 of 10
evaluate the following expression. you should do this problem without a calculator.
$e^{\ln 6}$
a. 0
b. 6
c. 3
d. 1

Explanation:

Step1: Recall inverse property of exponents and logarithms

The exponential function \( e^x \) and the natural logarithm function \( \ln x \) are inverse functions. The property of inverse functions states that for any positive real number \( a \), \( e^{\ln a}=a \).

Step2: Apply the property to the given expression

In the given expression \( e^{\ln 6} \), we can see that \( a = 6 \). Using the property \( e^{\ln a}=a \), we substitute \( a = 6 \) into the property. So \( e^{\ln 6}=6 \).

Answer:

B. 6