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11 January, 21:34

Solve Inx = 2 + In (x-4). Give the exact answer then use a calculator to find an approximate

answer.

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  1. 12 January, 00:40
    0
    x = 4e² / (e² - 1)

    x ≈ 4.626

    Step-by-step explanation:

    ln x = 2 + ln (x - 4)

    e^ (ln x) = e^ (2 + ln (x - 4))

    x = e^ (2 + ln (x - 4))

    x = e² e^ (ln (x - 4))

    x = e² (x - 4)

    x = e² x - 4e²

    4e² = e² x - x

    4e² = x (e² - 1)

    x = 4e² / (e² - 1)

    x ≈ 4.626
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