What is ln((x+1)/(\sqrt[4]{x-5)}) ?

The solution to ln((x+1)/(\sqrt[4]{x-5)}) is ln(x+1)-ln(\sqrt[4]{x-5})

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simplify ln((x+1)/(\sqrt[4]{x-5)})

simplify

Solution steps

Apply log rule:

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

lo g_{3} (\frac{81}{x ^{2} + 5})

- lo g_{10} (\frac{1}{x})

lo g_{5} (125 x)

lo g_{3} (x^{2} - 4) - lo g_{3} (x + 2)

lo g_{10} (\frac{a ^{2}}{b ^{4} c})

What is ln((x+1)/(\sqrt[4]{x-5)}) ?
The solution to ln((x+1)/(\sqrt[4]{x-5)}) is ln(x+1)-ln(\sqrt[4]{x-5})