Question

Log3(x-1)=log3(2x+1)

Answer 1

Ответ:решений нет

Пошаговое объяснение:

Так как выражение x-1 должно быть больше нуля, а корень уравнения равень -2

Answer 2

Ответ:

Пошаговое объяснение:

х-1=2х+1,  где  х-1>0,  x>1,  х-2х=2,  х=-2, не удовл  усл. х>1,   нет решений

Answer 3

To solve the equation log₃(x - 1) = log₃(2x + 1), you can use the properties of logarithms. The logarithms are equal, which means the expressions inside them are also equal. So, you can set:

x - 1 = 2x + 1

Now, solve for x:

1. Subtract x from both sides:

   -1 = x + 1

2. Subtract 1 from both sides:

   -2 = x

So, the solution to the equation is x = -2.

However, you should check the solution to ensure it's valid for the original equation. In this case, the solution x = -2 is valid because it doesn't result in taking the logarithm of a non-positive number (which would be undefined in this context).