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

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

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

simplify

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

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

Decimal Notation

- 0.06282 \dots

Solution steps

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

Apply log rule:

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

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

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

ln (7) = \frac{1}{2} ln (7)

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

- lo g_{10} (2.46 \cdot 1 0^{- 5})

4 ln (x - 5) - ln (x^{2} - 8 x + 15) + 2 ln (x - 3)

25 lo g_{5} (x) + 5 lo g_{5} (y)

ln (\frac{x ^{5} x + 2}{x + 8})

\frac{1}{5} ln (\frac{x - 1}{x ^{2} - x + 1})

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