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Math Help - Did I solve this equation correctly?

  1. #1
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    Did I solve this equation correctly?

    3e^0.085T = 30

    My answer: T = 27.0894

    My friend came up with 27.0892, so I'm curious to see who's wrong here. Or if we're both wrong.
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  2. #2
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    Quote Originally Posted by wrongnmbr View Post
    3e^0.085T = 30
    My answer: T = 27.0894
    My friend came up with 27.0892, so I'm curious to see who's wrong here. Or if we're both wrong.
    Both wrong; how did you ever get that?

    T = 30 / (3 * e^.085) = 9.18512.....
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  3. #3
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    EDIT: Nevermind, I made a slip-up.
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  4. #4
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    Do you know what is wrong with your posted question?
    You do not understand how to post in correct symbols.
    Why not learn to post in symbols? You can use LaTeX tags.
    [tex]3e^{0.085T}=3[/tex] gives  3e^{0.085T}=3 .

    Whereas [tex]3e^{0.085}T=3[/tex] gives  3e^{0.085}T=3 .

    Which one do you mean? You cannot blame us for not being mind readers.
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  5. #5
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    Quote Originally Posted by wrongnmbr View Post
    3e^0.085T = 30

    My answer: T = 27.0894
    if you meant ...

    3e^{0.085t} = 30

    e^{0.085t} = 10

    0.085t = \ln(10)

    \displaystyle t = \frac{\ln(10)}{0.085} = 27.0892...

    you owe your friend a beer.
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  6. #6
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    Quote Originally Posted by skeeter View Post
    if you meant ...

    3e^{0.085t} = 30

    e^{0.085t} = 10

    0.085t = \ln(10)

    \displaystyle t = \frac{\ln(10)}{0.085} = 27.0892...

    you owe your friend a beer.
    Lol, yeah, it's now been pointed out that I plugged it in my calculator incorrectly.
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