Asosiy tarkibga o'tish

6.2-bo'lim : Logarifm funktsiyalari

19. \({\log _{12}}35\) qiymatini topish uchun asosiy formula va kalkulyatordan foydalaning.

Yechim

Buning uchun tabiiy logarifmadan yoki umumiy logarifmadan foydalanishimiz mumkin, shuning uchun ikkalasini ham bajaramiz.

\[{\log _{12}}35 = \frac{{\ln 35}}{{\ln 12}} = \frac{{3.55534806}}{{2.48490665}} = \require{bbox} \bbox[2pt,border:1px solid black]{{1.43077731}}\] \[{\log _{12}}35 = \frac{{\log 35}}{{\log 12}} = \frac{{1.54406804}}{{1.07918125}} = \require{bbox} \bbox[2pt,border:1px solid black]{{1.43077731}}\]

Shunday qilib, boshida ta'kidlaganimizdek, qaysi logarifmdan foydalanishimiz muhim emas, oxirida biz bir xil javobni olamiz.