What is join (ln(7/2))/(4ln(2)) ?

The solution to join (ln(7/2))/(4ln(2)) is (ln(7/2))/(ln(16))

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join (ln(7/2))/(4ln(2))

join

\frac{ln ( \frac{7}{2} )}{4 ln ( 2 )}

\frac{ln ( \frac{7}{2} )}{ln ( 16 )}

Decimal Notation

0.45183 \dots

Solution steps

\frac{ln ( \frac{7}{2} )}{4 ln ( 2 )}

Apply log rule:

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

4 ln (2) = ln (2^{4})

= \frac{ln ( \frac{7}{2} )}{ln ( 2 ^{4} )}

2^{4} = 16

= \frac{ln ( \frac{7}{2} )}{ln ( 16 )}

ln (\frac{77 - 25}{100 - 25})

- ln (x - 3) + 2 ln (x - 2) + C

ln (2 x^{7})

2 lo g_{a} (3 x^{4}) - \frac{1}{2} lo g_{a} (3 x + 7)

2^{\frac{l n ( \frac{7}{4} )}{2 l n ( 2 )}}

What is join (ln(7/2))/(4ln(2)) ?
The solution to join (ln(7/2))/(4ln(2)) is (ln(7/2))/(ln(16))