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Math Help - Exponential equation

  1. #1
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    Exponential equation

    So I do not want the solution to this equation but I want to know how to solve this equation.

    So I got this equation that I would love to learn how to solve ... and I am not to sure how to do the power thing so i am just going to use ^

    e^5x-3 * e^-2x=5e

    Thanks in advance guys
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  2. #2
    Super Member Quacky's Avatar
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    Re: Exponential equation

    Is this the equation:

    e^{5x-3}\times{e^{-2x}}=5e

    Or is it this?

    e^{5x}-3e^{-2x}=5e
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  3. #3
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    Re: Exponential equation

    the top one

    e^5x-3 X e^-2x-5e

    how in the world do you make those because i cant figure it out haha
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  4. #4
    Super Member Quacky's Avatar
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    Re: Exponential equation

    Quote Originally Posted by DjNito View Post
    the top one

    e^5x-3 X e^-2x-5e

    how in the world do you make those because i cant figure it out haha
    Try learning latex but use the [TEX] tags, not the [tex] ones.

    e^{5x-3}\cdot{e^{-2x}}=5e

    Using the rule that y^a\cdot{y^b}=y^{a+b}, we get:

    e^{3x-3}=5e

    Dividing both sides by e (applying the same rule used above):

    e^{3x-4}=5

    Taking natural logs of both sides:

    ln(e^{3x-4})=ln(5)

    (3x-4)=ln(5)

    I'm sure you can finish.
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