Question

Log1/3(2x-1)= log1/3(x+3)​

Answer 1

2x-1>0, 2x>1, x>1/2 ( под знаком логарифма не может быть отрицательное число). получаем: 2x-1=x+3; 2x-x=3+1; x=4. Ответ: x=4.

Answer 2

To solve the equation log₁/₃(2x - 1) = log₁/₃(x + 3), we can apply the property of logarithms that states if logₐ(b) = logₐ(c), then b = c.

Using this property, we have:

2x - 1 = x + 3

To solve for x, we can start by isolating the x term on one side of the equation:

2x - x = 3 + 1

x = 4

So the solution to the equation log₁/₃(2x - 1) = log₁/₃(x + 3) is x = 4.