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

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

Laske

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

Ratkaisun vaiheet

Kerro \frac{2}{10} ja \frac{2}{10}, niin saadaan \left(\frac{2}{10}\right)^{2}.

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

Supista murtoluku \frac{2}{10} luvulla 2.

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

Laske \frac{1}{5} potenssiin 2, jolloin ratkaisuksi tulee \frac{1}{25}.

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

Supista murtoluku \frac{8}{10} luvulla 2.

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

Supista murtoluku \frac{8}{10} luvulla 2.

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

Jos haluat ratkaista lausekkeen \frac{1}{25}b_{2}+\frac{4}{5}\log_{2}\left(\frac{4}{5}\right) vastaluvun, ratkaise sen kunkin termin vastaluku.

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

Jaa tekijöihin

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

Ratkaisun vaiheet

Tarkastele lauseketta \frac{1}{5}\times \frac{1}{5}b_{2}+\frac{4}{5}\ln(\frac{4}{5})\ln(2)^{-1}. Jaa tekijöihin \frac{1}{25}:n suhteen.

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

Kirjoita koko tekijöihin jaettu lauseke uudelleen. Sievennä.

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