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13 November, 13:20

Find the value of x in 4000 (1.5x) = 25,000. show all work

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  1. 13 November, 13:27
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    4000 (1.5x) = 25000 divide both sides by 4000

    1.5x=6.25 divide both sides by 1.5

    x=25/6

    x=4 1/6

    But that is pretty simplistic, I suspect that you actually meant this was an exponential function of the form:

    4000 (1.5^x) = 25000 divide both sides by 4000

    1.5^x=6.25 take the natural log of both sides

    xln (1.5) = ln (6.25) divide both sides by ln (1.5)

    x=ln (6.25) / ln (1.5)

    x≈4.52 (to nearest hundredth)
  2. 13 November, 13:36
    0
    4000 (1.5) x = 25,000

    25000/4000 = 1.5x

    6.25 = 1.5x

    25/6 = x
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