Logarifmik tenglamalarni yechish Reja: Logarifmik tenglamalarni yechish usullari

lg (x+1)= 1 lg (x+1) = _

x+1= 10 x+1=10_

x₁ =9 x₂= -1+10_

Bu topilgan ildizlarning ikkalasi ham tenflama aniqlanish sohasiga oid shartlarning barchasini qanoatlantiradi.

Tayanch iboralar

Ko‘rsatkichli, losarifmik, aynit, shakl almashtirish, grafik, ifoda, xossa, daraja, modul, katta, kikichik, funksiya, o‘suvchi, kamayuvchi, soddalashtirish, tenglama

Nazorat savollari

1. Logarifmik funksiya deb nimaga aytiladi?

2.Logarifmik funksiyaning asosiy xossalari

3. 
   Logarifmik funksiyaning grafigi
   
4. 
   Ko‘rsatkichli va logarifmik ifodalarni shakl almashtirishlarga misollar keltiring
   
5. 
   Ko‘rsatkichli tenglama deb nimaga aytiladi
   
6. 
   Ko‘rsatkichli tenglamalarni yechish usullari
   

Topshiriqlar

Tenglamani yeching

1. 
   log₅x =2log₅3+4log₂₅2
   
2. 
   log₃x = 9log₂₇8 – 3log₃4
   
3. 
   log₂x -2log₂x = 9
   
4. 
   log₂x – log₈x =0
   

Test savollari

1. 
   lg (x²+2x-3) = lg (x-3) tenglamani yeching
   

A) 0 B) -1 C) 0;-1 D) Ø E) 1

2. lg (3+2lg(1+x)) =0 tenglamani yeching

A) 0 B) 1 C) -15 D) -0,9 E) -0,5

3. _ tenglamani yeching

A) 3 B) 2 C) -1 D) 2;-1 E) 3;-1

4. log₃ log₄ log₂ x = 0 tenglamani yeching

A) 12 B) 13 C) 16 D) 15 E) 18