What is ln(((x-2)^3)/(\sqrt[5]{x^2+1)(x+3)^2}) ?

The solution to ln(((x-2)^3)/(\sqrt[5]{x^2+1)(x+3)^2}) is 3ln(x-2)-ln(\sqrt[5]{x^2+1})-2ln(x+3)

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simplify ln(((x-2)^3)/(\sqrt[5]{x^2+1)(x+3)^2})

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

ln ((x - 2)^{3}) = 3 ln (x - 2)

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

lo g_{10} (a) - 2 lo g_{10} (c)

ln (500 e^{\frac{- x}{50}})

0 - \frac{0.025693}{2} ln (\frac{1}{2})

ln (e^{0} + 1) - ln (e^{- l n (2)} + 1)

ln (\frac{π}{x})

What is ln(((x-2)^3)/(\sqrt[5]{x^2+1)(x+3)^2}) ?
The solution to ln(((x-2)^3)/(\sqrt[5]{x^2+1)(x+3)^2}) is 3ln(x-2)-ln(\sqrt[5]{x^2+1})-2ln(x+3)