What is join-(ln(6))/(9ln(5)) ?

The solution to join-(ln(6))/(9ln(5)) is -(ln(6))/(ln(1953125))

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join-(ln(6))/(9ln(5))

join

- \frac{ln ( 6 )}{9 ln ( 5 )}

- \frac{ln ( 6 )}{ln ( 1953125 )}

Decimal Notation

- 0.12369 \dots

Solution steps

- \frac{ln ( 6 )}{9 ln ( 5 )}

Apply log rule:

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

9 ln (5) = ln (5^{9})

= - \frac{ln ( 6 )}{ln ( 5 ^{9} )}

5^{9} = 1953125

= - \frac{ln ( 6 )}{ln ( 1953125 )}

lo g_{e} (\frac{a ^{x} e ^{- a}}{x !})

ln (\frac{- e ^{- x}}{1 - e ^{- x}})

\frac{1}{- 0.2} ln (\frac{\frac{1001}{76}}{90}) - 9

5 lo g_{2} (c) + \frac{1}{3} lo g_{2} (d)

ln (\frac{r ^{2} s ^{11}}{t ^{14}})

What is join-(ln(6))/(9ln(5)) ?
The solution to join-(ln(6))/(9ln(5)) is -(ln(6))/(ln(1953125))