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Popular >

simplify ln(4xy^2)-2ln(x^2y)

Solution

simplify

ln (4 x y^{2}) - 2 ln (x^{2} y)

Solution

ln (\frac{4}{x ^{3}})

Solution steps

ln (4 x y^{2}) - 2 ln (x^{2} y)

Apply log rule:

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

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

= ln (4 x y^{2}) - ln ((x^{2} y)^{2})

Apply log rule:

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

ln (4 x y^{2}) - ln ((x^{2} y)^{2}) = ln (\frac{4 x y ^{2}}{( x ^{2} y ) ^{2}})

= ln (\frac{4 x y ^{2}}{( x ^{2} y ) ^{2}})

Simplify

\frac{4 x y ^{2}}{( x ^{2} y ) ^{2}} : \frac{4}{x ^{3}}

= ln (\frac{4}{x ^{3}})

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Frequently Asked Questions (FAQ)

What is ln(4xy^2)-2ln(x^2y) ?
The solution to ln(4xy^2)-2ln(x^2y) is ln(4/(x^3))