What is ln((\sqrt[5]{ab})/(c^4d)) ?

The solution to ln((\sqrt[5]{ab})/(c^4d)) is ln(\sqrt[5]{ab})-4ln(c)-ln(d)

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simplify ln((\sqrt[5]{ab})/(c^4d))

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^{4} d) = ln (c^{4}) + ln (d)

Apply log rule:

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

ln (c^{4}) = 4 ln (c)

- (4 ln (c) + ln (d)) : - 4 ln (c) - ln (d)

ln ((sin (2 x))^{2})

lo g_{10} (\frac{y ^{3}}{x})

ln (x) - [ln (x + 1) + 3 ln (x - 1) + 2]

lo g_{5} (2) - lo g_{5} (3)

What is ln((\sqrt[5]{ab})/(c^4d)) ?
The solution to ln((\sqrt[5]{ab})/(c^4d)) is ln(\sqrt[5]{ab})-4ln(c)-ln(d)