Precalculus Examples

$\frac{\ln (7) \cdot \ln (2)}{\ln (2) + \ln (7)}$

Step 1

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

$\frac{\ln (7) \cdot \ln (2)}{\ln (2 \cdot 7)}$

Step 2

Multiply $2$ by $7$ .

$\frac{\ln (7) \ln (2)}{\ln (14)}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{\ln (7) \ln (2)}{\ln (14)}$

Decimal Form:

$0.51109239 \dots$