Logarifmni eksponensial shaklga o'tkazish,

\[{\log _2}\frac{1}{8} = ?\hspace{0.25in}\hspace{0.25in} \Rightarrow \hspace{0.25in}\hspace{0.25in}{2^?} = \frac{1}{8}\]

Endi biz bilamizki, agar biz butun sonni manfiy ko'rsatkichga ko'tarsak, biz kasr olamiz va shuning uchun biz manfiy ko'rsatkichga ega bo'lishimiz kerak va keyin biz \({2^3} = 8\) ekanligini bilamiz. Shuning uchun biz \({2^{ - 3}} = \frac{1}{8}\) ekanligini ko'rishimiz mumkin va shuning uchun bizda bo'lishi kerak,

\[\require{bbox} \bbox[2pt,border:1px solid black]{{{{\log }_2}\frac{1}{8} = - 3}}\]