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

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

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

simplify

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

\frac{1}{2} \cdot ln (\frac{45}{60})

(287) ln (\frac{500}{200})

ln (\frac{1 + x}{2 + x}) - ln (x + 1)

ln (\frac{U ^{\frac{3}{2}} V}{N ^{\frac{5}{2}}})

- ln ∣ y - 0.5 ∣ + ln ∣ y - 0.277 ∣

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