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Popular >

simplify ln(x^2-y^2)-ln(x-y)

Solution

simplify

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

Solution

ln (x + y)

Solution steps

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

Apply log rule:

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

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

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

Simplify

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

= ln (x + y)

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Frequently Asked Questions (FAQ)

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