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

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

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

simplify

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

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

Decimal Notation

- 5.41902 \dots

Solution steps

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

lo g_{e} (4 x y)

ln (\frac{u ^{2} + u ^{2} - a ^{2}}{a})

\frac{1}{5} ln (\frac{15}{24})

- \frac{1}{5} lo g_{10} (y + 3) + \frac{1}{5} lo g_{10} (y - 2)

4 lo g_{10} (x - 7) - 5 lo g_{10} (x)

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