What is 1/2 ln((6+3sqrt(7))/2) ?

The solution to 1/2 ln((6+3sqrt(7))/2) is 1/2 (ln(6+3sqrt(7))-ln(2))

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simplify 1/2 ln((6+3sqrt(7))/2)

simplify

\frac{1}{2} ln (\frac{6 + 3 7}{2})

\frac{1}{2} (ln (6 + 37) - ln (2))

Decimal Notation

0.97070 \dots

Solution steps

\frac{1}{2} ln (\frac{6 + 3 7}{2})

Apply log rule:

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

ln (\frac{6 + 3 7}{2}) = ln (6 + 37) - ln (2)

= \frac{1}{2} (ln (6 + 37) - ln (2))

2717 - lo g_{10} (2 π)

5 lo g_{6} (m) - 4 lo g_{6} (n)

lo g_{10} (5^{2})

ln (2 e^{x - 1})

\frac{1}{2} ln 1 + x^{2} + ln ∣ y ∣

What is 1/2 ln((6+3sqrt(7))/2) ?
The solution to 1/2 ln((6+3sqrt(7))/2) is 1/2 (ln(6+3sqrt(7))-ln(2))