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

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

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

simplify

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

- 1.6 + lo g_{2} (5)

Decimal Notation

0.72192 \dots

Solution steps

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

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

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

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

Apply rule:

a - (- b) = a + b

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

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

Add similar elements:

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

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

- lo g_{10} (1.3 \cdot 1 0^{6})

\frac{6 \cdot 0.45}{6 - θ} + ln (\frac{1 \cdot 0.55}{1 - θ})

lo g_{10} (1000000 x)

ln (\frac{273}{263})

- lo g_{10} (1.48 \cdot 1 0^{- 7})

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