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19 January, 06:54

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

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  1. 19 January, 07:07
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    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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