What is simplify-[ 3/5 log_{2}(3/5)+2/5 log_{2}(2/5)] ?

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

Popular >

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}

ln (4.98 \cdot 1 0^{15} \cdot e^{0.47 (2000 - 2010)})

lo g_{10} (6) lo g_{10} (2) + lo g_{10} (3)

(\frac{1}{0.143}) ln (\frac{6 \cdot 1 0 ^{9}}{29000})

ln (\frac{547}{273}) \cdot 8

lo g_{0.3} (10) - lo g_{0.3} (3)

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