Precalculus Examples

$\log_{5} (e^{- 2 \ln (5)})$

Expand $\log_{5} (e^{- 2 \ln (5)})$ by moving $- 2 \ln (5)$ outside the logarithm.

$- 2 \ln (5) \log_{5} (e)$

The result can be shown in multiple forms.

Exact Form:

$- 2 \ln (5) \log_{5} (e)$

Decimal Form:

$- 2$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$