What is join (ln(21/4))/(5ln(2)) ?

The solution to join (ln(21/4))/(5ln(2)) is (ln(21/4))/(ln(32))

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join (ln(21/4))/(5ln(2))

join

\frac{ln ( \frac{21}{4} )}{5 ln ( 2 )}

\frac{ln ( \frac{21}{4} )}{ln ( 32 )}

Decimal Notation

0.47846 \dots

Solution steps

\frac{ln ( \frac{21}{4} )}{5 ln ( 2 )}

Apply log rule:

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

5 ln (2) = ln (2^{5})

= \frac{ln ( \frac{21}{4} )}{ln ( 2 ^{5} )}

2^{5} = 32

= \frac{ln ( \frac{21}{4} )}{ln ( 32 )}

ln (\frac{2}{3} e^{3 x})

ln (10) - ln (17)

- ln (\frac{17.45}{20})

ln (\frac{12}{4})

ln (\frac{233}{257})

What is join (ln(21/4))/(5ln(2)) ?
The solution to join (ln(21/4))/(5ln(2)) is (ln(21/4))/(ln(32))