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Popular >

simplify ln(y^2-1)-ln(y+1)

Solution

simplify

ln (y^{2} - 1) - ln (y + 1)

Solution

ln (y - 1)

Solution steps

ln (y^{2} - 1) - ln (y + 1)

Apply log rule:

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

ln (y^{2} - 1) - ln (y + 1) = ln (\frac{y ^{2} - 1}{y + 1})

= ln (\frac{y ^{2} - 1}{y + 1})

Simplify

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

= ln (y - 1)

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Frequently Asked Questions (FAQ)

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