Question

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

Answer 1

Answer: C. 7

Step-by-step 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`