What is join-(2ln(3))/(ln(4/3)) ?

The solution to join-(2ln(3))/(ln(4/3)) is -(ln(9))/(ln(4/3))

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join-(2ln(3))/(ln(4/3))

join

- \frac{2 ln ( 3 )}{ln ( \frac{4}{3} )}

- \frac{ln ( 9 )}{ln ( \frac{4}{3} )}

Decimal Notation

- 7.63768 \dots

Solution steps

- \frac{2 ln ( 3 )}{ln ( \frac{4}{3} )}

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 ln (3) = ln (3^{2})

= - \frac{ln ( 3 ^{2} )}{ln ( \frac{4}{3} )}

3^{2} = 9

= - \frac{ln ( 9 )}{ln ( \frac{4}{3} )}

lo g_{7} (\frac{sin ( x ) \cdot cos ( x )}{e ^{x} \cdot 2 ^{x}})

\frac{\frac{l n ( 2 ) - l n ( 3 )}{l n ( 3 )}}{- 1}

lo g_{2 a} (a) + lo g_{3 a} (2 a) + lo g_{4 a} (3 a + 1)

\frac{1}{2} ln (\frac{sin ( x ) + 1}{sin ( x ) - 1})

ln (\frac{- 1}{0 \cdot 1 - 2})

What is join-(2ln(3))/(ln(4/3)) ?
The solution to join-(2ln(3))/(ln(4/3)) is -(ln(9))/(ln(4/3))