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Popular >

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

Solution

simplify

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

Solution

ln (x)

Solution steps

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

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

Apply log rule:

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

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

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

Cancel the common factor:

y^{2}

= ln (x)

Popular Examples

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Frequently Asked Questions (FAQ)

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