Algebra

log3 (2x – 1) – log3 (x – 4) = 2

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  1. log3 (2x – 1) – log3 (x – 4) = 2 , clearly x > 4

    (2x-1)/(x-4) = 3^2
    2x^2 -9x-5 = 0
    (2x+1)(x-5) = 0
    x = -1/2 or x = 5

    but x > 4, so

    x = 5

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