What is ln((e^3\sqrt[3]{x})/(xy)) ?

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

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simplify ln((e^3\sqrt[3]{x})/(xy))

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)

Apply log rule:

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

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

3 ln (e) = 3

- (ln (x) + ln (y)) : - ln (x) - ln (y)

lo g_{9} (2 x + 3) - lo g_{9} (\frac{1}{2 x - 3})

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

lo g_{10} (x^{2} - 16) - 2 lo g_{10} (x + 4)

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

\frac{1}{3} lo g_{10} (a) - \frac{2}{5} lo g_{10} (b)

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