Precalculus Examples

$\frac{3 \log (80) - \ln (5)}{\log (5) + \ln (20)}$

Step 1

Simplify $3 \log (80)$ by moving $3$ inside the logarithm.

$\frac{\log (80^{3}) - \ln (5)}{\log (5) + \ln (20)}$

Step 2

Raise $80$ to the power of $3$ .

$\frac{\log (512000) - \ln (5)}{\log (5) + \ln (20)}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{\log (512000) - \ln (5)}{\log (5) + \ln (20)}$

Decimal Form:

$1.10965153 \dots$