What is ln((5+sqrt(6))/(2+sqrt(3))) ?

The solution to ln((5+sqrt(6))/(2+sqrt(3))) is ln(5+sqrt(6))-ln(2+sqrt(3))

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simplify ln((5+sqrt(6))/(2+sqrt(3)))

simplify

ln (\frac{5 + 6}{2 + 3})

ln (5 + 6) - ln (2 + 3)

Decimal Notation

0.69118 \dots

Solution steps

ln (\frac{5 + 6}{2 + 3})

Apply log rule:

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

ln (\frac{5 + 6}{2 + 3}) = ln (5 + 6) - ln (2 + 3)

= ln (5 + 6) - ln (2 + 3)

\frac{60}{2.2} ln (\frac{0.116}{0.035})

\frac{1}{2} \cdot ln (\frac{110}{125})

ln (\frac{30.6}{70.1})

- lo g_{10} (6.66 \cdot 1 0^{- 3})

ln (y e^{- y π})

What is ln((5+sqrt(6))/(2+sqrt(3))) ?
The solution to ln((5+sqrt(6))/(2+sqrt(3))) is ln(5+sqrt(6))-ln(2+sqrt(3))