What is 3/5 log_{2}(3/5)+2/5 log_{2}(2/5) ?

The solution to 3/5 log_{2}(3/5)+2/5 log_{2}(2/5) is (2+log_{2}(27/3125))/5

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simplify 3/5 log_{2}(3/5)+2/5 log_{2}(2/5)

simplify

\frac{3}{5} lo g_{2} (\frac{3}{5}) + \frac{2}{5} lo g_{2} (\frac{2}{5})

\frac{2 + lo g _{2} ( \frac{27}{3125} )}{5}

Decimal Notation

- 0.97095 \dots

Solution steps

\frac{3}{5} lo g_{2} (\frac{3}{5}) + \frac{2}{5} lo g_{2} (\frac{2}{5})

\frac{3}{5} lo g_{2} (\frac{3}{5}) + \frac{2}{5} lo g_{2} (\frac{2}{5}) = \frac{3 lo g _{2} ( \frac{3}{5} ) + 2 lo g _{2} ( \frac{2}{5} )}{5}

= \frac{3 lo g _{2} ( \frac{3}{5} ) + 2 lo g _{2} ( \frac{2}{5} )}{5}

3 lo g_{2} (\frac{3}{5}) + 2 lo g_{2} (\frac{2}{5}) = 2 + lo g_{2} (\frac{27}{3125})

= \frac{2 + lo g _{2} ( \frac{27}{3125} )}{5}

lo g_{b} (\frac{x ^{2} y}{b ^{3}})

16.7 + 10 \cdot lo g_{10} (\frac{750}{100})

lo g_{4} (\frac{5 x y}{2 x + y})

lo g_{10} (16 x^{2})

\frac{3}{41} ln (2 e)

What is 3/5 log_{2}(3/5)+2/5 log_{2}(2/5) ?
The solution to 3/5 log_{2}(3/5)+2/5 log_{2}(2/5) is (2+log_{2}(27/3125))/5