Решить уравнение log3^2 x

non9876 @non9876

July 2022 1 7 Report

Решить уравнение log3^2 x - log3 x=2

Answers & Comments

ShirokovP

Verified answer

Путь log3(x) = t
тогда получим квадратное уравнение:
t^2 - t - 2 = 0

D = 1 + 8 = 9

t1 = (1 + 3)/2 = 4/2 = 2;
t2 = ( 1 - 3)/2 = - 2/2 = - 1

log3(x) = 2
x = 9

log3(x) = - 1
x = 3^(-1)
x = 1/3

Ответ
9; 1/3

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