Question

What is the value of e Superscript l n 7 x 1 7e 7x 7.

Answer 1

The number raised with logarithm with base of that number cancels out.

Thus, the value of $e^{ln(7x)}$ will be given by:

Option C: 7x

Given that:

To evaluate the expression: $e^{ln(7x)}$

What is natural logarithm?

Natural logarithm is logarithm with base e. e is not a variable but a special mathematical constant. e = 2.7182818....

When logarithm has base as e, then we write it as ln instead of log. It is called natural logarithm

$e^a = b \implies a = ln(b)$

Thus, let $e^{ln(7x)} = b$. Then we will have:

$e^{ln(7x)} = b\\ln(7x) = ln(b)\\b = 7x \text{\: (since ln(x) is a one to one function)}\\\\\: \rm Thus,\\\\e^{ln(7x)} = b = 7x$

Thus, Option C: 7x is correct value of $e^{ln(7x)}$.

Learn more about natural logarithm here:

brainly.com/question/305900