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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

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

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

Popular Examples

simplify (ln(0.1)-ln(0.02))/(1-0.5)simplify

\frac{ln ( 0.1 ) - ln ( 0.02 )}{1 - 0.5}

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- 2 ln (2 a) - 2 ln (a)

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ln ∣ 7 ∣ - ln ∣ 0.5 ∣

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ln (\frac{19}{15})

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ln (\frac{n !}{x ! ( n - x ) !} \cdot p^{x} \cdot (1 - p)^{(n - x)})

Frequently Asked Questions (FAQ)

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