What is ln((\sqrt[4]{ab})/(c^7d)) ?

The solution to ln((\sqrt[4]{ab})/(c^7d)) is ln(\sqrt[4]{ab})-7ln(c)-ln(d)

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simplify ln((\sqrt[4]{ab})/(c^7d))

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)

ln (c^{7} d) = ln (c^{7}) + ln (d)

Apply log rule:

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

ln (c^{7}) = 7 ln (c)

- (7 ln (c) + ln (d)) : - 7 ln (c) - ln (d)

lo g_{e} (\frac{2}{3} w)

2 ln ∣ x + 2 ∣ - ln ∣ x - 4 ∣ + C

ln (θ^{y} (1 - θ^{n - y}))

lo g_{10} (5 x^{4} \cdot (1 - x)^{12 - 4})

ln (A e^{- \frac{B}{RT}})

What is ln((\sqrt[4]{ab})/(c^7d)) ?
The solution to ln((\sqrt[4]{ab})/(c^7d)) is ln(\sqrt[4]{ab})-7ln(c)-ln(d)