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Popular >

simplify ln((3y^2)/(y+1))

Solution

simplify

ln (\frac{3 y ^{2}}{y + 1})

Solution

ln (3) + 2 ln (y) - ln (y + 1)

Solution steps

ln (\frac{3 y ^{2}}{y + 1})

Apply log rule:

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

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

= ln (3 y^{2}) - ln (y + 1)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (3 y^{2}) = ln (3) + ln (y^{2})

= ln (3) + ln (y^{2}) - ln (y + 1)

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (y^{2}) = 2 ln (y)

= ln (3) + 2 ln (y) - ln (y + 1)

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Frequently Asked Questions (FAQ)

What is ln((3y^2)/(y+1)) ?
The solution to ln((3y^2)/(y+1)) is ln(3)+2ln(y)-ln(y+1)