Algebra Examples

$\log_{m} (m^{2 n})$

Step 1

Expand $\log_{m} (m^{2 n})$ by moving $2 n$ outside the logarithm.

$2 n \log_{m} (m)$

Step 2

Logarithm base $m$ of $m$ is $1$ .

$2 n \cdot 1$

Step 3

Multiply $2$ by $1$ .

$2 n$