Precalculus Examples

$\log_{b} (e^{2}) \cdot \ln (b^{2})$

Step 1

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

$2 \log_{b} (e) \cdot \ln (b^{2})$

Step 2

Expand $\ln (b^{2})$ by moving $2$ outside the logarithm.

$2 \log_{b} (e) \cdot (2 \ln (b))$

Step 3

Multiply $2$ by $2$ .

$4 \log_{b} (e) \ln (b)$