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} \cdot 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}}

\frac{1}{2 105} - ln (21) + ln (20)

\frac{1}{2} (ln (8 x^{2}) - ln (4) - 3 ln (x) - ln (y))

0.53 - (\frac{0.0592}{2}) \cdot lo g_{10} (\frac{0.1}{3})

ln (\frac{24 2}{2})

- lo g_{10} (5.45 \cdot 1 0^{- 5})

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})