Order the steps to solve the equation log3(x + 2) = log3(2x2 − 1) from 1 to 6
2 answers:
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.
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