which of the following is equivalent to the expression below? In(e^7)
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Answer: C. 7
Explanation
When the exponent of a natural logarithm has an exponent, we can do the following:
[tex]\ln(e^7)=7\ln(e)[/tex]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:
[tex]7\ln(e)=7\cdot1[/tex][tex]=7[/tex]