Calculus Examples

$\ln (x) - \ln (y x)$

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

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

Reduce the expression by cancelling the common factors.

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Cancel the common factor.

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

Rewrite the expression.

$\ln (\frac{1}{y})$

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