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9 May, 22:42

What is the solution to 2log9 (x) = log^9 (8) + log9 (x-2)

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  1. 9 May, 23:06
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    2log9 (x) = log^9 (8) + log9 (x-2)

    Log₉x² = log₉8 + log₉ (x-2)

    Log₉x² = log₉ (8 * (x-2))

    Log₉x² = log₉8x-16

    Log₉x² - log₉8x-16 = 0

    Log₉ (x² / (8x-16)) = 0

    x² / (8x-16) = 9°

    x² = 1 * 8x-16

    x²-8x+16 = 0

    x²-4x-4x+16 = 0

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

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

    Therefore x = 4 ...
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