Answer:
To solve the equation 9x² = 3³x-2, we can follow these steps:
First, we need to simplify the right side of the equation. 3³ = 27, so we can replace 3³ with 27. The equation now becomes: 9x² = 27x - 2
Next, we'll want to get all the x terms on one side of the equation and all the constants on the other side. To do this, we'll add 2 to both sides of the equation: 9x² = 27x - 2 + 2 = 27x. This gives us: 9x² = 27x
Next, we'll divide both sides of the equation by 9. This will give us x² = 3x.
Finally, we can divide both sides by 3. This will give us x = 1.
So the solution is x = 1