What is join 1/3 ln(8/3+2sqrt(2)) ?

The solution to join 1/3 ln(8/3+2sqrt(2)) is ln((8/3+2sqrt(2))^{1/3})

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join 1/3 ln(8/3+2sqrt(2))

join

\frac{1}{3} ln (\frac{8}{3} + 22)

ln ((\frac{8}{3} + 22)^{\frac{1}{3}})

Decimal Notation

0.56795 \dots

Solution steps

\frac{1}{3} ln (\frac{8}{3} + 22)

Apply log rule:

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

\frac{1}{3} ln (\frac{8}{3} + 22) = ln ((\frac{8}{3} + 22)^{\frac{1}{3}})

= ln ((\frac{8}{3} + 22)^{\frac{1}{3}})

lo g_{10} (x) - \frac{1}{2} lo g_{10} (z) + \frac{1}{2} lo g_{10} (y)

ln (3 x^{2} - 4) - ln (x^{2})

1 + ln (2 x) - ln (3 y) - 2 ln (z)

4 lo g_{10} (x) - 2 lo g_{10} (x - 3)

lo g_{2} (r^{\frac{1}{3}}) t

What is join 1/3 ln(8/3+2sqrt(2)) ?
The solution to join 1/3 ln(8/3+2sqrt(2)) is ln((8/3+2sqrt(2))^{1/3})