What is 0.3ln((10+sqrt(104))/2) ?

The solution to 0.3ln((10+sqrt(104))/2) is 0.3(ln(10+2sqrt(26))-ln(2))

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simplify 0.3ln((10+sqrt(104))/2)

simplify

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

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

Decimal Notation

0.69373 \dots

Solution steps

0.3 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)

= 0.3 (ln (10 + 104) - ln (2))

104 = 226

= 0.3 (ln (10 + 226) - ln (2))

ln (\frac{2 x ^{4}}{y ^{7}})

ln (\frac{0.525}{0.412})

- lo g_{10} (2.17 \cdot 1 0^{- 9})

ln (7) - ln (14) + ln (10)

ln (x + 3) + 2 ln (y) - ln (a) + ln (b)

What is 0.3ln((10+sqrt(104))/2) ?
The solution to 0.3ln((10+sqrt(104))/2) is 0.3(ln(10+2sqrt(26))-ln(2))