What is expand log_{e}((\sqrt[3]{e^7x})/(x^3)) ?

The solution to expand log_{e}((\sqrt[3]{e^7x})/(x^3)) is ln(e^2\sqrt[3]{e}\sqrt[3]{x})-3ln(x)

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expand log_{e}((\sqrt[3]{e^7x})/(x^3))

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

lo g_{e} (x^{3}) = 3 lo g_{e} (x)

3 lo g_{e} (x) = 3 ln (x)

- lo g_{10} (3.98 \cdot 1 0^{- 9})

ln^{2} (\frac{( 2 x + 3 ) ^{2}}{2})

ln (- 3 e^{\frac{1}{3}})

2 lo g_{3} (x) - 6 lo g_{3} (y)

ln (\frac{( x + 2 )}{( x ^{2} + 7 x + 12 )})

What is expand log_{e}((\sqrt[3]{e^7x})/(x^3)) ?
The solution to expand log_{e}((\sqrt[3]{e^7x})/(x^3)) is ln(e^2\sqrt[3]{e}\sqrt[3]{x})-3ln(x)