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forse_peutetre
forse_peutetre asked in Science & MathematicsMathematics · 1 decade ago

How to do Es and natural logs?

Just wondering if you have for example

2e^3x and you natural log it to get rid of the e does it go to

ln(2) 3x or (2)3x.

i.e. Do you separately log the 2 or take it as part of the e?

Thanks

3 Answers

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  • Anonymous
    Lv 6
    1 decade ago
    Favourite answer

    A natural log (lnx) means log(base e)x. Therefore 2e^3x = 2ln3x.

  • Como
    Lv 7
    1 decade ago

    First of all you have to express question clearly.

    Is it 2 e^(3x) or e^3 x ?

    Will take a guess at 2 e^(3x)

    Let y = 2 e^(3x)

    ln y = ln 2 + 3e^(3x)

    3e^(3x) = ln y - ln 2

    3e^(3x) = ln (y/2)

  • Jtk M
    1 decade ago

    Let me show you with an example:

    2*e^(3x) = 4

    e^(3x) = 2

    3x = ln(2)

    x = (1/3) * ln(2)

    Hope this helps.

    Greetx TKM

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