Viewing 11 posts - 1 through 11 (of 11 total)
  • Final Algebra question (for now)
  • mactheknife
    Full Member

    Ok, finally got to grips with the advanced algebra part of my coursework.

    Or so i thought. Now i reckon this is easy and my brain has reached saturation point but im really struggling with this one.

    Oh and realman if u read this. Cheers for the quadratic equation advice. Made everything so simple 🙂

    Anyhoo i have hopefully attached a pic of the offending question. Please help 🙂

    andrewrchambers
    Free Member

    Is that the whole equation? I don’t really see what is there to solve and unless I’ve forgotten how to use my calculator (Which is very possible), the rhs is not 16…

    andrewrchambers
    Free Member

    Unless e is an unknown and not what I think of as e…

    Cougar
    Full Member

    I think ‘e’ is a variable in this case like ‘x’ would be, rather than the normally associated constant.

    (Otherwise, the correct answer would be ‘false’).

    mactheknife
    Full Member

    Yep thats the whole equation, e relates to growth and is 2.7182.

    Now my assumption was to transform and solve it for t.

    Klunk
    Free Member

    a quick in the head says

    t = -2 * ln(1/3)

    cynic-al
    Free Member

    e^(-t/2)=1/3

    I can’t remember how to take it further…

    andrewrchambers
    Free Member

    Oh I though the t was a 1… That makes more sense.

    Quick in the head is the same as klunk but with a minus sign in front. I was always prone to getting minus signs wrong though

    Edit. Didn’t see the minus on klunks answer. That’s what I get as well.

    mactheknife
    Full Member

    Yea it has pickled my head for now. Just gotta sleep on it and see if that does me any good. i spent 3 bloody days figuring out linear equations with 3 variables so this should be a doddle 🙂

    cynic-al
    Free Member

    klunk has it I think.

    AdamW
    Free Member

    Just remembering old math:

    16=24(1-e^(-t/2))

    16 = 24 – 24e^(-t/2)

    -8 = -24 e^(-t/2)

    multiply by -1 both sides:

    8 = 24 e^(-t/2)

    1/3 = e^(-t/2)

    take logs:

    ln(1/3) = (-t/2)*ln(e)
    -2ln(1/3)/ln(e)=t

    But ln(e) = 1
    -2 ln(1/3) = t

    Which makes t=+2.19722457733624 (since ln(x) where x<1 is negative).

    Hi Emsz, if you’re about!

Viewing 11 posts - 1 through 11 (of 11 total)

The topic ‘Final Algebra question (for now)’ is closed to new replies.