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

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

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

simplify

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

ln (5 - 26) - ln (2 - 3)

Decimal Notation

- 0.97547 \dots

Solution steps

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

Apply log rule:

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

ln (\frac{5 - 2 6}{2 - 3}) = ln (5 - 26) - ln (2 - 3)

= ln (5 - 26) - ln (2 - 3)

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

- lo g_{10} (1 0^{- 14} \frac{1}{5.4 \cdot 1 0 ^{- 4}})

ln (4 x^{6} y^{8})

- \frac{1}{π} ln (\frac{6}{2})

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

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