Question

Which of the following is equivalent to the expression below? In(e^7)

Answer 1

Answer: C. 7

Explanation

When the exponent of a natural logarithm has an exponent, we can do the following:

$\ln(e^7)=7\ln(e)$

Additionally, we are given a natural logarithm, and the base for the natural logarithm is the mathematical constant e. When the argument of the logarithm is equal to the base, then it is equal to 1:

$7\ln(e)=7\cdot1$$=7$