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4 November, 22:01

In (x-7) = ln8-ln (x) Solve for "x"

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  1. 4 November, 22:18
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    x = 8.

    Step-by-step explanation:

    ln (x - 7) = ln8 - lnx Using the laws of logarithms:

    ln (x - 7) = ln (8/x)

    x - 7 = 8/x

    x^2 - 7x = 8

    x^2 - 7x - 8 = 0

    (x - 8) (x + 1) = 0

    x = - 1, 8.

    x must be 8 as there is no real value of the log of a negative.
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