What is join-(28ln(31/40))/(ln(2)) ?

The solution to join-(28ln(31/40))/(ln(2)) is -(ln(\frac{31^{28})/(40^{28)})}{ln(2)}

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join-(28ln(31/40))/(ln(2))

join

- \frac{28 ln ( \frac{31}{40} )}{ln ( 2 )}

- \frac{ln ( \frac{3 1 ^{28}}{4 0 ^{28}} )}{ln ( 2 )}

Decimal Notation

10.29648 \dots

Solution steps

- \frac{28 ln ( \frac{31}{40} )}{ln ( 2 )}

Apply log rule:

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

28 ln (\frac{31}{40}) = ln ((\frac{31}{40})^{28})

= - \frac{ln ( ( \frac{31}{40} ) ^{28} )}{ln ( 2 )}

(\frac{31}{40})^{28} = \frac{3 1 ^{28}}{4 0 ^{28}}

= - \frac{ln ( \frac{3 1 ^{28}}{4 0 ^{28}} )}{ln ( 2 )}

lo g_{10} (\frac{3 x}{y ^{3}})

ln (\frac{x}{0.085})

ln (\frac{0.5}{x})

ln (2) - ln (7) + ln (5)

What is join-(28ln(31/40))/(ln(2)) ?
The solution to join-(28ln(31/40))/(ln(2)) is -(ln(\frac{31^{28})/(40^{28)})}{ln(2)}