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Math Help - solve exponential equation

  1. #1
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    solve exponential equation

    39.6399(0.904559)^x=0.5
    solve for x with working: hey guys can anyone solve this ill try to solve it right now - i think you convert to log to solve - ill see if i can do it - then ill compare answers with yours
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  2. #2
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    Re: solve exponential equation

    0.5/39.6399 = (0.904559)^x <=> ln(0.5/39.6399) = ln((0.904559)^x) = ln(0.904559)*x <=> x = ln(0.5/39.6399) / ln(0.904559)

    I can do the rewrite because ln(2^x) = ln(2)*x
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  3. #3
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    Re: solve exponential equation

    x = 43.6 approximatly
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  4. #4
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    Re: solve exponential equation

    wroking on the problem and my answer is 43.59566977
    subbing it into the equation and i got 0.49 recurring which is basically 0.5 rounded to (1dp)
    lol i solved my own question thanks nicklasaau for your help though
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  5. #5
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    Re: solve exponential equation

    oh you got same answer yay thanks anyways for offering to help
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