Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.

Trending News

Promoted
esmail
esmail asked in Science & MathematicsMathematics · 5 years ago

Solve to 2 decimal places: 438=200e^0.25x the answer is x=3.14 Please explain how?

4 Answers

Relevance
  • Como
    Lv 7
    5 years ago

    438/200 = e^(x/4)

    ln [ 438/200 ] = x/4

    x = 4 ln [ 438/200 ]

    x = 3 • 14

  • ?
    Lv 7
    5 years ago

    First put parentheses around the exponent.

    438 = 200e^(0.25x)

    e^(0.25x) = 438/200 = 2.19

    take natural log of both sides

    ln(e^(0.25x)) = ln(2.19)

    0.25x = ln(2.19) ≅ 0.784

    x = 4·0.784 ≅ 3.14

  • lenpol7
    Lv 7
    5 years ago

    438 = 200 e^(0.25x)

    Divide both sides by '200'

    Hence

    2.19 = e^(0.25x)

    Take log to base 'e' ( ln)

    ln 2.19 = ln e^(0.25x)

    0.7839 = (0.25x) ln e

    NB ln e = 1

    Hence

    0.7839 = 0.25x

    x = 0.7839/0.25

    x = 3.1356....

    Hence x = 3.14 ( to nearest hundredth).

  • TopCat
    5 years ago

    438=200e^0.25x

    438/200=e^0.25x

    2.19=e^0.25x

    ln(2.19)=ln(e^0.25x)

    ln(2.19)=0.25x

    x=ln(2.19)/0.25

    x=3.14

Still have questions? Get your answers by asking now.