What is join 1/3 ln(5/3+sqrt(3)) ?

The solution to join 1/3 ln(5/3+sqrt(3)) is ln((5/3+sqrt(3))^{1/3})

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join 1/3 ln(5/3+sqrt(3))

join

\frac{1}{3} ln (\frac{5}{3} + 3)

ln ((\frac{5}{3} + 3)^{\frac{1}{3}})

Decimal Notation

0.40779 \dots

Solution steps

\frac{1}{3} ln (\frac{5}{3} + 3)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

\frac{1}{3} ln (\frac{5}{3} + 3) = ln ((\frac{5}{3} + 3)^{\frac{1}{3}})

= ln ((\frac{5}{3} + 3)^{\frac{1}{3}})

ln (0.7721 \cdot π)

ln (6) + ln (\frac{e ^{(2.11367)}}{3})

ln (\frac{1}{x}) + ln (x) - ln (x^{3})

ln (\frac{140}{125})

\frac{1}{5} ln ∣ x + 1 ∣ + \frac{4}{5} ln ∣ x - 4 ∣

What is join 1/3 ln(5/3+sqrt(3)) ?
The solution to join 1/3 ln(5/3+sqrt(3)) is ln((5/3+sqrt(3))^{1/3})