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Popular >

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

Solution

simplify

ln (x) - ln (x - y)

Solution

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

Solution steps

ln (x) - ln (x - y)

Apply log rule:

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

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

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

Popular Examples

simplify ln(x^2+2x-80)-ln(x-8)simplify

ln (x^{2} + 2 x - 80) - ln (x - 8)

simplify 1/(0.00003)ln((75-15)/(400-15))simplify

\frac{1}{0.00003} ln (\frac{75 - 15}{400 - 15})

simplify ((ln(2.71)-ln(5.82)))/2 simplify

\frac{( ln ( 2.71 ) - ln ( 5.82 ) )}{2}

simplify-log_{10}(3.162*10^{-8})simplify

- lo g_{10} (3.162 \cdot 1 0^{- 8})

simplify-1/2 ln(3)+ln(2)simplify

- \frac{1}{2} ln (3) + ln (2)

Frequently Asked Questions (FAQ)

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