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

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

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

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^{2}) = 2 ln (y)

- (2 ln (y) + ln (z)) : - 2 ln (y) - ln (z)

2 lo g_{10} (x + 3) - 5 lo g_{10} (x - 1)

ln (5 e^{- i \frac{7 π}{4}})

ln (\frac{- 1}{( e ^{x} + c )})

\frac{27 ln ( 2 ) - 9 ln ( 3 )}{5}

ln (\frac{( 1 )}{12})

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