Question

Evaluate the following expression. You should do this problem without a calculator. e^In 6

Answer 1

Answer:

6

Step-by-step explanation:

Answer 2

ln is called the natural log, or log to the base e. ln can also be written as $log_{e}$

So, we can write the given expression as
$e^{log_{e}(6) }$

The property of logs is:
$a^{log_{a}(x) }=x$

This mean if the number a is raised to log whose base is the same as the number a itself, then the answer will be equal to the argument of the log which is x.

In the given case, the number e and the base of log are the same. So the answer of the expression will be the argument of log which is 6.

so, we can write $e^{ln(6)}=6$

Thus, the correct answer is option D