Calculus Examples

$\ln (2 x) - \ln (x)$

Step 1

Use the quotient property of logarithms, $\log_{b} (x) - \log_{b} (y) = \log_{b} (\frac{x}{y})$ .

$\ln (\frac{2 x}{x})$

Step 2

Cancel the common factor of $x$ .

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Step 2.1

Cancel the common factor.

$\ln (\frac{2 x}{x})$

Step 2.2

Divide $2$ by $1$ .

$\ln (2)$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\ln (2)$

Decimal Form:

$0.69314718 \dots$