What is join (15ln(5/21))/(ln(13/21)) ?

The solution to join (15ln(5/21))/(ln(13/21)) is (ln(\frac{5^{15})/(21^{15)})}{ln(13/21)}

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join (15ln(5/21))/(ln(13/21))

join

\frac{15 ln ( \frac{5}{21} )}{ln ( \frac{13}{21} )}

\frac{ln ( \frac{5 ^{15}}{2 1 ^{15}} )}{ln ( \frac{13}{21} )}

Decimal Notation

44.88631 \dots

Solution steps

\frac{15 ln ( \frac{5}{21} )}{ln ( \frac{13}{21} )}

Apply log rule:

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

15 ln (\frac{5}{21}) = ln ((\frac{5}{21})^{15})

= \frac{ln ( ( \frac{5}{21} ) ^{15} )}{ln ( \frac{13}{21} )}

(\frac{5}{21})^{15} = \frac{5 ^{15}}{2 1 ^{15}}

= \frac{ln ( \frac{5 ^{15}}{2 1 ^{15}} )}{ln ( \frac{13}{21} )}

ln (\frac{70}{50}) + (\frac{1}{2} \cdot 0. 4^{2}) \cdot 4

lo g_{10} (\frac{x ^{4}}{y ^{3} z})

- ln (5) - ln (7) + ln (3)

lo g_{10} (\frac{y ^{9}}{x ^{8}})

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

What is join (15ln(5/21))/(ln(13/21)) ?
The solution to join (15ln(5/21))/(ln(13/21)) is (ln(\frac{5^{15})/(21^{15)})}{ln(13/21)}