Lahenda =-[2/10b_{2}(2/10)+8/10log_{2}(8/10)]

$$= - [ \frac { 2 } { 10 } b _ { 2 } ( \frac { 2 } { 10 } ) + \frac { 8 } { 10 } \log _ { 2 } ( \frac { 8 } { 10 } ) ]$$

Arvuta

$$-\frac{b_{2}}{25}+\frac{4\log_{2}\left(5\right)}{5}-\frac{8}{5}$$

Lahenduse etapid

Korrutage \frac{2}{10} ja \frac{2}{10}, et leida \left(\frac{2}{10}\right)^{2}.

$$-\left(\left(\frac{2}{10}\right)^{2}b_{2}+\frac{8}{10}\log_{2}\left(\frac{8}{10}\right)\right)$$

Taandage murd \frac{2}{10} vähimale ühiskordsele, eraldades ja taandades arvu 2.

$$-\left(\left(\frac{1}{5}\right)^{2}b_{2}+\frac{8}{10}\log_{2}\left(\frac{8}{10}\right)\right)$$

Arvutage 2 aste \frac{1}{5} ja leidke \frac{1}{25}.

$$-\left(\frac{1}{25}b_{2}+\frac{8}{10}\log_{2}\left(\frac{8}{10}\right)\right)$$

Taandage murd \frac{8}{10} vähimale ühiskordsele, eraldades ja taandades arvu 2.

$$-\left(\frac{1}{25}b_{2}+\frac{4}{5}\log_{2}\left(\frac{8}{10}\right)\right)$$

Taandage murd \frac{8}{10} vähimale ühiskordsele, eraldades ja taandades arvu 2.

$$-\left(\frac{1}{25}b_{2}+\frac{4}{5}\log_{2}\left(\frac{4}{5}\right)\right)$$

Avaldise "\frac{1}{25}b_{2}+\frac{4}{5}\log_{2}\left(\frac{4}{5}\right)" vastandi leidmiseks tuleb leida iga liikme vastand.

$$-\frac{1}{25}b_{2}-\frac{4}{5}\log_{2}\left(\frac{4}{5}\right)$$

Lahuta teguriteks

$$\frac{-b_{2}+20\log_{2}\left(5\right)-40}{25}$$

Lahenduse etapid

Mõelge valemile \frac{1}{5}\times \frac{1}{5}b_{2}+\frac{4}{5}\ln(\frac{4}{5})\ln(2)^{-1}. Tooge \frac{1}{25} sulgude ette.

$$\frac{b_{2}+20\log_{2}\left(\frac{4}{5}\right)}{25}$$

Kirjutage ümber täielik teguriteks jaotatud avaldis. Lihtsustage.

$$-\frac{b_{2}+20\log_{2}\left(\frac{4}{5}\right)}{25}$$