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

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

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

simplify

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_{m} (\frac{a \cdot b \cdot c ^{\frac{1}{4}}}{d \cdot e ^{\frac{1}{2}}})

ln (4 x^{3})

ln (2 x (x + 3)^{5})

2 lo g_{3} (x) + lo g_{3} (x - 3)

lo g_{10} (2) + lo g_{10} (18)

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