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

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

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

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

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

0.48 - \frac{0.0592}{6} lo g_{10} (\frac{1.5}{0.5})

ln (\frac{19}{44})

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

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

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