What is ln((6x)/(\sqrt[5]{x^3+1)}) ?

The solution to ln((6x)/(\sqrt[5]{x^3+1)}) is ln(6)+ln(x)-ln(\sqrt[5]{x^3+1})

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simplify ln((6x)/(\sqrt[5]{x^3+1)})

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 (6 x) = ln (6) + ln (x)

lo g_{3} (x^{3} y^{2} z)

lo g_{5} (\frac{c}{125})

lo g_{5} (3) + lo g_{5} (7)

lo g_{10} (\frac{z y}{x ^{2}})

ln (\frac{125}{27})

What is ln((6x)/(\sqrt[5]{x^3+1)}) ?
The solution to ln((6x)/(\sqrt[5]{x^3+1)}) is ln(6)+ln(x)-ln(\sqrt[5]{x^3+1})