Precalculus Examples

$\frac{2 \ln (5) + \log (10)}{\log (36) - \ln (6)}$

Step 1

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

$\frac{\ln (5^{2}) + \log (10)}{\log (36) - \ln (6)}$

Step 2

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

$\frac{\ln (25) + \log (10)}{\log (36) - \ln (6)}$

Step 3

Logarithm base $10$ of $10$ is $1$ .

$\frac{\ln (25) + 1}{\log (36) - \ln (6)}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{\ln (25) + 1}{\log (36) - \ln (6)}$

Decimal Form:

$- 17.91782104 \dots$