What is 7/12 log_{2}(12/7)+5/12 log_{2}(12/5) ?

The solution to 7/12 log_{2}(12/7)+5/12 log_{2}(12/5) is (log_{2}(8916100448256/2573571875))/(12)

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simplify 7/12 log_{2}(12/7)+5/12 log_{2}(12/5)

simplify

\frac{7}{12} lo g_{2} (\frac{12}{7}) + \frac{5}{12} lo g_{2} (\frac{12}{5})

\frac{lo g _{2} ( \frac{8916100448256}{2573571875} )}{12}

Decimal Notation

0.97986 \dots

Solution steps

\frac{7}{12} lo g_{2} (\frac{12}{7}) + \frac{5}{12} lo g_{2} (\frac{12}{5})

\frac{7}{12} lo g_{2} (\frac{12}{7}) + \frac{5}{12} lo g_{2} (\frac{12}{5}) = \frac{7 lo g _{2} ( \frac{12}{7} ) + 5 lo g _{2} ( \frac{12}{5} )}{12}

= \frac{7 lo g _{2} ( \frac{12}{7} ) + 5 lo g _{2} ( \frac{12}{5} )}{12}

7 lo g_{2} (\frac{12}{7}) + 5 lo g_{2} (\frac{12}{5}) = lo g_{2} (\frac{8916100448256}{2573571875})

= \frac{lo g _{2} ( \frac{8916100448256}{2573571875} )}{12}

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\frac{5 ln ( 2 )}{ln ( \frac{533}{500} )}

ln (\frac{8}{8 + 4})

What is 7/12 log_{2}(12/7)+5/12 log_{2}(12/5) ?
The solution to 7/12 log_{2}(12/7)+5/12 log_{2}(12/5) is (log_{2}(8916100448256/2573571875))/(12)