Question

Log0,3(x-9)=log0,3(3-2x)

Answer 1

Смотри ......................

Answer 2

To solve the equation log₀.₃(x-9) = log₀.₃(3-2x), we can use the property of logarithms that states: logₐ(m) = logₐ(n) if and only if m = n.

So, we have: x - 9 = 3 - 2x

Now, let's solve for x:

1. Add 2x to both sides: x + 2x - 9 = 3

2. Combine like terms: 3x - 9 = 3

3. Add 9 to both sides: 3x = 3 + 9 3x = 12

4. Finally, divide both sides by 3 to find the value of x: x = 12 / 3 x = 4

Thus, the solution to the equation is x = 4.