Question

How do I write e^1 = e in logarithm form?

Answer 1

The general exponential form can be converted to logarithm form as follows

where ln denotes the natural logarithm. In our case, a is equal to 1 and b is the number e, so we get

Therefore, the answer is

$\ln e=1$

Second way.

We hace the following equation:

$e^1=e$

By applying natural logarithm in both sides, we have

$\ln (e^1)=\ln e$

But

$\begin{gathered} \ln e=1 \\ \text{then, we have } \\ \ln (e^1)=1 \end{gathered}$

By the logarithm property:

$\ln x^y=y\ln x$

we have that

$1\ln e=1$

since every number times 1 is the same number,(that is, 1 times lne is lne), we get

$\ln e=1$