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2 June, 18:44

What are the solutions to log6 (x squared + 8) = 1 + log6 (x)

x = - 2 and x = - -4

x = -1 and x = 8

x = 1 and x = -8

x = 2 and x = 4

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  1. 2 June, 19:12
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    x = 2 and x = 4

    Step-by-step explanation:

    log6 (x squared + 8) = 1 + log6 (x)

    log6 (x squared + 8) = log6 (6) + log6 (x)

    log6 (x² + 8) = log6 (6x)

    x² + 8 = 6x

    x² - 6x + 8 = 0

    x² - 4x - 2x + 8 = 0

    x (x - 4) - 2 (x - 4) = 0

    (x - 4) (x - 2) = 0

    x = 2, 4
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