What is ln((\sqrt[8]{x^7})/(x^2+3x+2)) ?

The solution to ln((\sqrt[8]{x^7})/(x^2+3x+2)) is ln(\sqrt[8]{x^7})-ln(x^2+3x+2)

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simplify ln((\sqrt[8]{x^7})/(x^2+3x+2))

simplify

Solution steps

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

\frac{1}{3} ln (6) - \frac{1}{3} ln (- 1)

\frac{- 3 ln ( 2 )}{ln ( 2 ) - ln ( 5 )}

ln (27) + ln (9) - ln (\frac{1}{3}) \cdot 4 ln (3)

ln (\frac{2 x ^{4}}{( x + 1 ) ^{9}})

- 8.314 \cdot ln (\frac{1}{10})

What is ln((\sqrt[8]{x^7})/(x^2+3x+2)) ?
The solution to ln((\sqrt[8]{x^7})/(x^2+3x+2)) is ln(\sqrt[8]{x^7})-ln(x^2+3x+2)