Simplify log of 10^e

$\log (10^{e})$

Step 1

Expand $\log (10^{e})$ by moving $e$ outside the logarithm.

$e \log (10)$

Step 2

Logarithm base $10$ of $10$ is $1$ .

$e \cdot 1$

Step 3

Multiply $e$ by $1$ .

$e$

Step 4

The result can be shown in multiple forms.

Exact Form:

$e$

Decimal Form:

$2.71828182 \dots$