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Math Help - Algebra Help!

  1. #1
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    Algebra Help!

    Hello,

    Can you please help me figure out how to solve for t?

    5000 = 100*2^(t/3)

    thanks
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  2. #2
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    do you know/remember how to do logarithms? (logs)
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  3. #3
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    Quote Originally Posted by artvandalay11 View Post
    do you know/remember how to do logarithms? (logs)
    I had a feeling that's where its going to end up at, I get to about here then i'm stuck...

    4900 = 2^(t/3)

    what's the next step?
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  4. #4
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    you subtracted 100, but you have to divide by it

    after that, take the log of both sides... then you can use a log rule to "Bring down" the exponenet.... do you know how to do this
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  5. #5
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    Quote Originally Posted by artvandalay11 View Post
    you subtracted 100, but you have to divide by it

    after that, take the log of both sides... then you can use a log rule to "Bring down" the exponenet.... do you know how to do this
    oops, sorry for that silly mistake thanks..

    500=2^(t/3)

    i have no idea how to do the next step =/
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  6. #6
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    Quote Originally Posted by l flipboi l View Post
    oops, sorry for that silly mistake thanks..

    500=2^(t/3)

    i have no idea how to do the next step =/
    That 500 should be a 50 as pickslides notes. 5000 divided by 100 is 50 not 500

    We will take the log of both sides. There are special log rules that you need to remember. Logs were "invented" for dealing with these exact kinds of problems

    \log 50=\log 2^{\frac{t}{3}}

    \log 50=\frac{t}{3} \log 2

    One of those important log rules is that you can bring down the exponent

    now can you solve?
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  7. #7
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    Quote Originally Posted by artvandalay11 View Post

    \log 500=\log 2^{\frac{t}{3}}

    \log 500=\frac{t}{3} \log 2
    You mean

    \log 50=\log 2^{\frac{t}{3}}

    \log 50=\frac{t}{3} \log 2
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  8. #8
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    yes I do, sorry I just quoted and assumed the quote was correct, 5000 divided by 100 is 50 not 500
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  9. #9
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    Quote Originally Posted by artvandalay11 View Post
    yes I do, sorry I just quoted and assumed the quote was correct, 5000 divided by 100 is 50 not 500

    hahah geez =/ sorry
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  10. #10
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    Quote Originally Posted by pickslides View Post
    You mean

    \log 50=\log 2^{\frac{t}{3}}

    \log 50=\frac{t}{3} \log 2

    is 16.93 the correct answer?

    how would you isolate the t from there.
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  11. #11
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    Quote Originally Posted by l flipboi l View Post
    is 16.93 the correct answer?

    how would you isolate the t from there.
    using some very basic algebra

    \log 50=\frac{t}{3} \log 2

    \frac{\log 50}{\log 2}=\frac{t}{3}

    3\frac{\log 50}{\log 2}=t

    t= 3\frac{\log 50}{\log 2}


    The rest is a job for Mr Calculator..
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