1.8-bo'lim : Logarifm funktsiyalari
2. Kalkulyatordan foydalanmasdan \({\log _5}125\) ning aniq qiymatini aniqlang.
Maslahat: Esda tutingki, logarifmni eksponensial shaklga o'tkazish ko'pincha bunday logarifmalarni baholashga yordam beradi.
Yechim
Logarifmni eksponensial shaklga o'tkazish,
\[{\log _5}125 = ?\hspace{0.25in}\hspace{0.25in} \Rightarrow \hspace{0.25in}\hspace{0.25in}{5^?} = 125\]Bundan biz tezda \({5^3} = 125\) ekanligini ko'rishimiz mumkin va shuning uchun bizda shunday bo'lishi kerak,
\[\require{bbox} \bbox[2pt,border:1px solid black]{{{{\log }_5}125 = 3}}\]