Order the steps to solve the equation log3 (x + 2) = log3 (2x2 - 1) from 1 to 6

Unfortunately, you overlooked the need to share Steps 1-6.

Solve: (log to the base 3 of) (x+2) = (log to the base 3 of) (2x^2-1).

Use (log to the base 3 of) (x+2) as the exponent of 3 in the equation 3 = 3:

(log to the base 3 of) (x+2) (log to the base 3 of) (2x^2-1)

3 = 3

This reduces to x+2 = 2x^2 - 1, which, in turn, simplifies to 2x^2 - 1 - x - 2 = 0, or

2x^2 - x - 3 = 0. You could use the quadratic formula or some other method to solve this for x. The roots are 3/2 and - 1.