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Popular >

simplify ln(x/y-1)-ln(y)

Solution

simplify

ln (\frac{x}{y} - 1) - ln (y)

Solution

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

Solution steps

ln (\frac{x}{y} - 1) - ln (y)

Apply log rule:

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

ln (\frac{x}{y} - 1) - ln (y) = ln (\frac{\frac{x}{y} - 1}{y})

= ln (\frac{\frac{x}{y} - 1}{y})

Simplify

\frac{\frac{x}{y} - 1}{y} : \frac{x - y}{y ^{2}}

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

Popular Examples

simplify ln(6*10^{-6})simplify

ln (6 \cdot 1 0^{- 6})

simplify-log_{10}(3.5*10^{-9})simplify

- lo g_{10} (3.5 \cdot 1 0^{- 9})

simplify log_{10}(40)-log_{10}(2.5)simplify

lo g_{10} (40) - lo g_{10} (2.5)

simplify ln((-1)/x)simplify

ln (\frac{- 1}{x})

expand ln((x+3)/(4y))expand

ln (\frac{x + 3}{4 y})

Frequently Asked Questions (FAQ)

What is ln(x/y-1)-ln(y) ?
The solution to ln(x/y-1)-ln(y) is ln((x-y)/(y^2))