Question

Log4x=log4(2-x) !!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

Х принадлежит промежутку (0;2)

основы у нас одинаковые, значит запишем уравнение как 

            х = 2 - х
            х+х=2
            2х=2 | :2
            х=1
Ответ: х=1

Answer 2

To solve the equation log4(x) = log4(2-x), we can use the property of logarithms that states: log_a(b) = log_a(c) if and only if b = c. In this case, we have:

log4(x) = log4(2-x)

Since both sides of the equation have the same base (logarithm base 4), we can set the expressions inside the logarithms equal to each other:

x = 2 - x

Now, we can solve for x:

x + x = 2 2x = 2 x = 2/2 x = 1

So, the solution to the equation is x = 1.