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

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

Evalwa

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

Passi tas-Soluzzjonijiet

Immultiplika \frac{2}{10} u \frac{2}{10} biex tikseb \left(\frac{2}{10}\right)^{2}.

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

Naqqas il-frazzjoni \frac{2}{10} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

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

Ikkalkula \frac{1}{5} bil-power ta' 2 u tikseb \frac{1}{25}.

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

Naqqas il-frazzjoni \frac{8}{10} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

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

Naqqas il-frazzjoni \frac{8}{10} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

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

Biex issib l-oppost ta' \frac{1}{25}b_{2}+\frac{4}{5}\log_{2}\left(\frac{4}{5}\right), sib l-oppost ta' kull terminu.

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

Fattur

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

Passi tas-Soluzzjonijiet

Ikkunsidra li \frac{1}{5}\times \frac{1}{5}b_{2}+\frac{4}{5}\ln(\frac{4}{5})\ln(2)^{-1}. Iffattura 'l barra \frac{1}{25}.

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

Erġa' ikteb l-espressjoni ffatturata kompluta. Issimplifika.

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