What is 3ln((10+sqrt(104))/2) ?

The solution to 3ln((10+sqrt(104))/2) is 3(ln(10+2sqrt(26))-ln(2))

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simplify 3ln((10+sqrt(104))/2)

simplify

3 ln (\frac{10 + 104}{2})

3 (ln (10 + 226) - ln (2))

Decimal Notation

6.93731 \dots

Solution steps

3 ln (\frac{10 + 104}{2})

Apply log rule:

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

ln (\frac{10 + 104}{2}) = ln (10 + 104) - ln (2)

= 3 (ln (10 + 104) - ln (2))

104 = 226

= 3 (ln (10 + 226) - ln (2))

\frac{1}{6} ln (d) - 6 ln (f)

4.76 + lo g_{10} (\frac{0.022}{0.1})

ln (x + 1) + ln (x)

ln (\frac{0.01}{100})

- lo g_{10} (6.1 \cdot 1 0^{- 6})

What is 3ln((10+sqrt(104))/2) ?
The solution to 3ln((10+sqrt(104))/2) is 3(ln(10+2sqrt(26))-ln(2))