Precalculus Examples

$\frac{\ln (10)}{\ln (5)} \cdot 2$

Step 1

Multiply $\frac{\ln (10)}{\ln (5)} \cdot 2$ .

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Step 1.1

Combine $\frac{\ln (10)}{\ln (5)}$ and $2$ .

$\frac{\ln (10) \cdot 2}{\ln (5)}$

Step 1.2

Reorder $\ln (10)$ and $2$ .

$\frac{2 \cdot \ln (10)}{\ln (5)}$

Step 1.3

Simplify $2 \cdot \ln (10)$ by moving $2$ inside the logarithm.

$\frac{\ln (10^{2})}{\ln (5)}$

Step 2

Raise $10$ to the power of $2$ .

$\frac{\ln (100)}{\ln (5)}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{\ln (100)}{\ln (5)}$

Decimal Form:

$2.86135311 \dots$