What is join (30ln(25/114))/(ln(79/114)) ?

The solution to join (30ln(25/114))/(ln(79/114)) is (ln(\frac{25^{30})/(114^{30)})}{ln(79/114)}

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join (30ln(25/114))/(ln(79/114))

join

\frac{30 ln ( \frac{25}{114} )}{ln ( \frac{79}{114} )}

\frac{ln ( \frac{2 5 ^{30}}{11 4 ^{30}} )}{ln ( \frac{79}{114} )}

Decimal Notation

124.11616 \dots

Solution steps

\frac{30 ln ( \frac{25}{114} )}{ln ( \frac{79}{114} )}

Apply log rule:

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

30 ln (\frac{25}{114}) = ln ((\frac{25}{114})^{30})

= \frac{ln ( ( \frac{25}{114} ) ^{30} )}{ln ( \frac{79}{114} )}

(\frac{25}{114})^{30} = \frac{2 5 ^{30}}{11 4 ^{30}}

= \frac{ln ( \frac{2 5 ^{30}}{11 4 ^{30}} )}{ln ( \frac{79}{114} )}

lo g_{2} (\frac{1}{1000})

ln (\frac{5}{2}) - \frac{117}{250}

1.97 - \frac{0.0592}{2} lo g_{10} (\frac{800}{16})

ln (5) + 3 ln (4)

\frac{1}{5} ln (\frac{y}{x} + 4) + ln (x)

What is join (30ln(25/114))/(ln(79/114)) ?
The solution to join (30ln(25/114))/(ln(79/114)) is (ln(\frac{25^{30})/(114^{30)})}{ln(79/114)}