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`