Question

How do you solve `ln e^(sqrt{2})`?

Answer 1

The value of this expression is `sqrt(2)`

Explanation:

This question ca be answered using the definition of logarythm (here natural `ln`))

According to a definition:

`log_a b=c iff a^c=b`

So we are looking for a number to which the base has to be risen to get the value of `b`.

In the given example we are looking for a number to which we have to raise `e` to get the number `e^sqrt(2)`. From the form of the number `e^sqrt(2)` we can see that the answer is `sqrt(2)`.