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Popular >

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

Solution

simplify

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

Solution

ln (y - x) - ln (x + y)

Solution steps

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

Apply log rule:

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

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

= ln (y - x) - ln (y + x)

Popular Examples

simplify ln(x)-ln(2x)simplify

ln (x) - ln (2 x)

simplify log_{e}(2/3)simplify

lo g_{e} (\frac{2}{3})

simplify ln((e^5)/(12))simplify

ln (\frac{e ^{5}}{12})

simplify log_{10}(20)+log_{10}(30)simplify

lo g_{10} (20) + lo g_{10} (30)

simplify 1/2 [1+log_{2}(a)-log_{2}(b)-log_{2}(3)]simplify

\frac{1}{2} [1 + lo g_{2} (a) - lo g_{2} (b) - lo g_{2} (3)]

Frequently Asked Questions (FAQ)

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