What is 1/3 ln((9+3sqrt(17))/2) ?

The solution to 1/3 ln((9+3sqrt(17))/2) is 1/3 (ln(9+3sqrt(17))-ln(2))

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simplify 1/3 ln((9+3sqrt(17))/2)

simplify

\frac{1}{3} ln (\frac{9 + 3 17}{2})

\frac{1}{3} (ln (9 + 317) - ln (2))

Decimal Notation

0.78960 \dots

Solution steps

\frac{1}{3} ln (\frac{9 + 3 17}{2})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{9 + 3 17}{2}) = ln (9 + 317) - ln (2)

= \frac{1}{3} (ln (9 + 317) - ln (2))

- 3 ln (4 x)

lo g_{10} (1.42 \cdot 1 0^{- 5}) - (2.84 \cdot 1 0^{- 10})

ln (\frac{1.25}{0.2})

ln (\frac{7.63}{600})

What is 1/3 ln((9+3sqrt(17))/2) ?
The solution to 1/3 ln((9+3sqrt(17))/2) is 1/3 (ln(9+3sqrt(17))-ln(2))