Precalculus Examples

$\log_{5} (\frac{\sqrt{5}}{25}) + e^{\ln (3) + \ln (4)}$

Step 1

Use the product property of logarithms, $\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

$\log_{5} (\frac{\sqrt{5}}{25}) + e^{\ln (3 \cdot 4)}$

Step 2

Exponentiation and log are inverse functions.

$\log_{5} (\frac{\sqrt{5}}{25}) + 3 \cdot 4$

Step 3

Multiply $3$ by $4$ .

$\log_{5} (\frac{\sqrt{5}}{25}) + 12$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\log_{5} (\frac{\sqrt{5}}{25}) + 12$

Decimal Form:

$10.5$