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

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

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

simplify

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

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

Decimal Notation

- 3.41902 \dots

Solution steps

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

lo g_{10} (2 x + 9) - lo g_{10} (x)

lo g_{\frac{1}{4}} (16 z (x^{3} - 27))

\frac{1}{2} ln 3 + e^{8} - ln (2)

lo g_{z} (\frac{2 x}{3})

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

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