Question

Log0,4(x+2)=log0,4(14-4x) Решите УРАВНЕНИЕ срочно

Answer 1

ОДЗ
- 2 < x<3,5

x + 2 = 14 - 4x
x + 4x = 14 - 2 
5x = 12
x = 2,4

Ответ
2,4

Answer 2

Solving the Equation Log0,4(x+2) = log0,4(14-4x)

To solve the equation Log0,4(x+2) = log0,4(14-4x), we can use the property of logarithms that states if log_b(x) = log_b(y), then x = y. In this case, we have logarithms with the same base, so we can equate the expressions inside the logarithms.

1. First, we equate the expressions inside the logarithms: - x + 2 = 14 - 4x

2. Then, we solve for x: - x + 4x = 14 - 2 - 5x = 12 - x = 12 / 5

Therefore, the solution to the equation Log0,4(x+2) = log0,4(14-4x) is x = 12 / 5.

This solution is obtained by equating the expressions inside the logarithms and solving for x.

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