What is expand ln((3y+2)/(4\sqrt[3]{y)}) ?

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

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expand ln((3y+2)/(4\sqrt[3]{y)})

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)

ln (4) = 2 ln (2)

lo g_{10} (3) 2

lo g_{10} (\frac{10}{y})

lo g_{10} (\frac{1}{y})

ln (\frac{13}{9})

lo g_{10} (\frac{z ^{2} y}{x ^{2}})

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