Order the steps to solve the equation log3 (x + 2) = log3 (2x2 - 1) from 1 to 6. 0 = (2x - 3) (x + 1)

0 = 2x2 - x - 3

Potential solutions are - 1 and 3

2

.

2x - 3 = 0 or x + 1 = 0

x + 2 = 2x2 - 1

3log3 (x + 2) = 3log3 (2x2 - 1)

Step 1

log3 (x + 2) = log3 (2x² - 1)

Step 2

x + 2 = 2x² - 1

Step 3

2x² - x - 3 = 0

Step 4

(2x - 3) (x + 1) = 0

Step 5

2x - 3 = 0 or x + 1 = 0

Step 6:

Potential solutions are - 1 and 3/2

Step-by-step explanation:

Step 1

log3 (x + 2) = log3 (2x² - 1)

Step 2

x + 2 = 2x² - 1

Step 3

2x² - x - 3 = 0

Step 4

2x² - 3x + 2x - 3 = 0

x (2x - 3) + 1 (2x - 3) = 0

(2x - 3) (x + 1) = 0

Step 5

2x - 3 = 0 or x + 1 = 0

Step 6:

x = 3/2 or x = - 1

Potential solutions are - 1 and 3/2

in short 4, 3, 6, 5, 2,1