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29 May, 04:20

Which equation can you solve to find the potential solutions to the equation log2x + log2 (x - 6) = 4?

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  1. 29 May, 07:08
    0
    x = 32/5

    Step-by-step explanation:

    Given the logarithmic equation,

    log2x + log2 (x - 6) = 4, to get the equation that can solve the potential solutions to the equation we need to solve the equation by removing all traces of log as shown;

    According to the law of logarithm, log a + log b = log (a/b). Applying this to the equation given

    log2x + log2 (x - 6) = 4,

    log2 (x/x-6) = 4

    Also If log_a b = c, then a^c = b

    x/x-6 = 2⁴

    x/x-6 = 16

    Cross multiplying

    x = 16 (x-6)

    x = 16x-96

    x-16x = - 96

    -15x = - 96

    x = 96/15

    x = 32/5

    The solution to the equation is x = 32/5
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