Home
О нас
Products
Services
Регистрация
Войти
Поиск
Legox
@Legox
July 2022
1
6
Report
Помогите решить или объясните решение, пожалуйста:
3^3x-11*3^2x+18*3^x=0
Please enter comments
Please enter your name.
Please enter the correct email address.
Agree to
terms of service
You must agree before submitting.
Send
Answers & Comments
nKrynka
Решение
3^3(x) -11*3^2(x) + 18*3^(x) = 0
3^x * (3^(2x) - 11*(3^x) + 18) = 0
3^x = 0 не имеет смысла
(3^(2x) - 11*(3^x) + 18) = 0
3^x = Z
z^2 - 11z + 18 = 0
D = 11^2 - 4*1*18 = 121 - 72 = 49
Z1 = (11 - 7)/2 = 2
Z2 = (11+ 7)/2 = 9
3^x = 2
log(3^x) = log2
x*log3 (3) = log2
x1 = log2
3^x = 9
3^x = 3^2
x2 = 2
Ответ: x1 = log2: х2 = 2.
0 votes
Thanks 0
×
Report "Помогите решить или объясните решение, пожалуйста: 3^3x-11*3^2x+18*3^x=0..."
Your name
Email
Reason
-Select Reason-
Pornographic
Defamatory
Illegal/Unlawful
Spam
Other Terms Of Service Violation
File a copyright complaint
Description
Helpful Links
О нас
Политика конфиденциальности
Правила и условия
Copyright
Контакты
Helpful Social
Get monthly updates
Submit
Copyright © 2025 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
3^3(x) -11*3^2(x) + 18*3^(x) = 0
3^x * (3^(2x) - 11*(3^x) + 18) = 0
3^x = 0 не имеет смысла
(3^(2x) - 11*(3^x) + 18) = 0
3^x = Z
z^2 - 11z + 18 = 0
D = 11^2 - 4*1*18 = 121 - 72 = 49
Z1 = (11 - 7)/2 = 2
Z2 = (11+ 7)/2 = 9
3^x = 2
log(3^x) = log2
x*log3 (3) = log2
x1 = log2
3^x = 9
3^x = 3^2
x2 = 2
Ответ: x1 = log2: х2 = 2.