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

0.33693 \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}}

3 x^{2} y sin (5 x) - ln (4 y)

3 ln ∣ x - 2 ∣ + 4 ln ∣ x + 7 ∣

4.3 + lo g_{10} (\frac{0.02}{0.05})

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

lo g_{10} (25) + lo g_{10} (2) + lo g_{10} (0.02)

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})