What is (ln(3))/(ln(2)-ln(3)) ?

The solution to (ln(3))/(ln(2)-ln(3)) is (ln(3))/(ln(2/3))

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simplify (ln(3))/(ln(2)-ln(3))

simplify

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

\frac{ln ( 3 )}{ln ( \frac{2}{3} )}

Decimal

- 2.70951 \dots

Solution steps

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

Apply log rule:

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

ln (2) - ln (3) = ln (\frac{2}{3})

= \frac{ln ( 3 )}{ln ( \frac{2}{3} )}

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

ln (\frac{1}{β ^{n}} e^{\frac{- 1}{β ^{n}} (- α n + x)})

ln (\frac{e ^{1 + i} - e ^{- 1 - i}}{2})

3 lo g_{10} (x) + lo g_{10} (7) - 2 lo g_{10} (y)

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

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