What is 1/2 ln((4+sqrt(7))/3) ?

The solution to 1/2 ln((4+sqrt(7))/3) is 1/2 (ln(4+sqrt(7))-ln(3))

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simplify 1/2 ln((4+sqrt(7))/3)

simplify

\frac{1}{2} ln (\frac{4 + 7}{3})

\frac{1}{2} (ln (4 + 7) - ln (3))

Decimal Notation

0.39768 \dots

Solution steps

\frac{1}{2} ln (\frac{4 + 7}{3})

Apply log rule:

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

ln (\frac{4 + 7}{3}) = ln (4 + 7) - ln (3)

= \frac{1}{2} (ln (4 + 7) - ln (3))

ln (\frac{1}{32})

ln (\frac{1}{0.015})

- lo g_{10} (3.16 \cdot 1 0^{- 3})

ln (\frac{x ^{2}}{e x cos ( x )})

ln (\frac{496200}{40100})

What is 1/2 ln((4+sqrt(7))/3) ?
The solution to 1/2 ln((4+sqrt(7))/3) is 1/2 (ln(4+sqrt(7))-ln(3))