What is join 1/3 ln(7/6+(sqrt(5))/2) ?

The solution to join 1/3 ln(7/6+(sqrt(5))/2) is ln((7/6+(sqrt(5))/2)^{1/3})

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join 1/3 ln(7/6+(sqrt(5))/2)

join

\frac{1}{3} ln (\frac{7}{6} + \frac{5}{2})

ln (\frac{7}{6} + \frac{5}{2})^{\frac{1}{3}}

Decimal Notation

0.27541 \dots

Solution steps

\frac{1}{3} ln (\frac{7}{6} + \frac{5}{2})

Apply log rule:

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

\frac{1}{3} ln (\frac{7}{6} + \frac{5}{2}) = ln (\frac{7}{6} + \frac{5}{2})^{\frac{1}{3}}

= ln (\frac{7}{6} + \frac{5}{2})^{\frac{1}{3}}

lo g_{2} (x) + 5 lo g_{2} (y) - 3 lo g_{2} (z)

ln (\frac{419.2692693}{523})

lo g_{10} (\frac{z ^{4}}{x ^{5} y})

ln (x) + ln (x^{2} + 1)

ln (6 H)

What is join 1/3 ln(7/6+(sqrt(5))/2) ?
The solution to join 1/3 ln(7/6+(sqrt(5))/2) is ln((7/6+(sqrt(5))/2)^{1/3})