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Popular >

simplify ln(x)-ln(y/x)

Solution

simplify

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

Solution

ln (\frac{x ^{2}}{y})

Solution steps

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

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (x) - ln (\frac{y}{x}) = ln (\frac{x}{\frac{y}{x}})

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

Simplify

\frac{x}{\frac{y}{x}} : \frac{x ^{2}}{y}

= ln (\frac{x ^{2}}{y})

Popular Examples

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Frequently Asked Questions (FAQ)

What is ln(x)-ln(y/x) ?
The solution to ln(x)-ln(y/x) is ln((x^2)/y)