Question

Решите неравенство: Log3(1-X)=1

Answer 1

Log3(1-X)=1
ОДЗ: 1-Х>0; Х<1
log3(1-X) = Log3_3 (я не знаю,как написать,но получается логарифм трех по основанию 3)
1-Х = 3
-Х = 3-1
-х = 2
х= -2
Ответ: -2

Answer 2

Ответ:

х= -2

Пошаговое объяснение:

Это уравнение

Log₃(1-X)=1

Log₃(1-X)=Log₃3¹

1-х=3

х=1-3

х= -2

Answer 3

To solve the inequality Log₃(1 - X) = 1, we need to use properties of logarithms. The logarithm equation can be rewritten in exponential form as follows:

Log₃(1 - X) = 1 => 3¹ = 1 - X

Now, solve for X:

3 = 1 - X

To isolate X, move 1 to the other side:

X = 1 - 3

X = -2

Thus, the solution to the inequality is X ≤ -2.