What is expand ln(((\sqrt[3]{x^2})y^6)/(w^3z^4)) ?

The solution to expand ln(((\sqrt[3]{x^2})y^6)/(w^3z^4)) is ln(\sqrt[3]{x^2})+6ln(y)-3ln(w)-4ln(z)

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expand ln(((\sqrt[3]{x^2})y^6)/(w^3z^4))

expand

Solution steps

Apply log rule:

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

Apply log rule:

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

Apply log rule:

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

ln (y^{6}) = 6 ln (y)

Apply log rule:

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

ln (w^{3}) = 3 ln (w)

Apply log rule:

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

ln (z^{4}) = 4 ln (z)

- (3 ln (w) + 4 ln (z)) : - 3 ln (w) - 4 ln (z)

2 ln (a) - \frac{1}{3} ln (b) + 3 ln (c)

lo g_{10} (\frac{4 c}{3})

lo g_{10} (\frac{1000}{m ^{2} + n ^{2}})

lo g_{4} (3 x y)

What is expand ln(((\sqrt[3]{x^2})y^6)/(w^3z^4)) ?
The solution to expand ln(((\sqrt[3]{x^2})y^6)/(w^3z^4)) is ln(\sqrt[3]{x^2})+6ln(y)-3ln(w)-4ln(z)