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Popular >

simplify ln(x/y+2)-ln(y)

Solution

simplify

ln (\frac{x}{y} + 2) - ln (y)

Solution

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

Solution steps

ln (\frac{x}{y} + 2) - ln (y)

Apply log rule:

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

ln (\frac{x}{y} + 2) - ln (y) = ln (\frac{\frac{x}{y} + 2}{y})

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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