What is ln(x\sqrt[5]{x^2+2}) ?

The solution to ln(x\sqrt[5]{x^2+2}) is ln(x)+ln(\sqrt[5]{x^2+2})

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simplify ln(x\sqrt[5]{x^2+2})

simplify

Solution steps

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (x x^{2} + 3)

ln (x - 3) + ln (x + 3)

ln (9 e^{3})

- 4 lo g_{3} (3) - lo g_{4} (\frac{1}{6})

2 + 4 lo g_{3} (x) - \frac{1}{3} lo g_{3} (y)

What is ln(x\sqrt[5]{x^2+2}) ?
The solution to ln(x\sqrt[5]{x^2+2}) is ln(x)+ln(\sqrt[5]{x^2+2})