What is simplify-0.2log_{2}(0.2)-0.8log_{2}(0.8) ?

The solution to simplify-0.2log_{2}(0.2)-0.8log_{2}(0.8) is log_{2}(5)-1.6

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simplify-0.2log_{2}(0.2)-0.8log_{2}(0.8)

simplify

- 0.2 lo g_{2} (0.2) - 0.8 lo g_{2} (0.8)

lo g_{2} (5) - 1.6

Decimal Notation

0.72192 \dots

Solution steps

- 0.2 lo g_{2} (0.2) - 0.8 lo g_{2} (0.8)

- 0.2 lo g_{2} (0.2) = 0.2 lo g_{2} (5)

0.8 lo g_{2} (0.8) = 1.6 - 0.8 lo g_{2} (5)

= 0.2 lo g_{2} (5) - (1.6 - 0.8 lo g_{2} (5))

Expand

- (1.6 - 0.8 lo g_{2} (5)) : - 1.6 + 0.8 lo g_{2} (5)

= 0.2 lo g_{2} (5) - 1.6 + 0.8 lo g_{2} (5)

Add similar elements:

0.2 lo g_{2} (5) + 0.8 lo g_{2} (5) = lo g_{2} (5)

= lo g_{2} (5) - 1.6

ln (4 \cdot cos (x))

3156659.5 \cdot ln (\frac{6.8}{1.2})

ln (\frac{( 2 x + 1 ) ^{5}}{x ^{2} + 1})

ln (\frac{a}{2}) + ln (a^{3})

\frac{1}{4} lo g_{e} (y - 2) - \frac{1}{4} lo g_{e} (y + 2)

What is simplify-0.2log_{2}(0.2)-0.8log_{2}(0.8) ?
The solution to simplify-0.2log_{2}(0.2)-0.8log_{2}(0.8) is log_{2}(5)-1.6