What is join (4ln(2))/(ln(25/24)) ?

The solution to join (4ln(2))/(ln(25/24)) is (ln(16))/(ln(25/24))

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join (4ln(2))/(ln(25/24))

join

\frac{4 ln ( 2 )}{ln ( \frac{25}{24} )}

\frac{ln ( 16 )}{ln ( \frac{25}{24} )}

Decimal Notation

67.91899 \dots

Solution steps

\frac{4 ln ( 2 )}{ln ( \frac{25}{24} )}

Apply log rule:

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

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

= \frac{ln ( 2 ^{4} )}{ln ( \frac{25}{24} )}

2^{4} = 16

= \frac{ln ( 16 )}{ln ( \frac{25}{24} )}

lo g_{e} (\frac{1}{4}) + \frac{1}{4}

\frac{d}{d x} (\frac{3}{4 x}) + ln (2 x^{3})

ln (6) - ln (7) - ln (2) + ln (3)

- lo g_{10} (1.89 \cdot 1 0^{- 3})

ln (\frac{30}{42})

What is join (4ln(2))/(ln(25/24)) ?
The solution to join (4ln(2))/(ln(25/24)) is (ln(16))/(ln(25/24))