Precalculus Examples

$\frac{2 \ln (5) + \log (50)}{\log (4) - \ln (2)}$

Step 1

Simplify $2 \ln (5)$ by moving $2$ inside the logarithm.

$\frac{\ln (5^{2}) + \log (50)}{\log (4) - \ln (2)}$

Step 2

Raise $5$ to the power of $2$ .

$\frac{\ln (25) + \log (50)}{\log (4) - \ln (2)}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{\ln (25) + \log (50)}{\log (4) - \ln (2)}$

Decimal Form:

$- 53.99053226 \dots$