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Math Help - how to solve this exponential equation for b?

  1. #1
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    how to solve this exponential equation for b?

    I'm having trouble solving this equation for b, it is my understanding that I am not allowed to use graphing calculators to help, and i cant figure out how to solve this by hand. I've tried a bunch of methods, including using log rules, but still cant crakc it. any help appreciated.

    0.5(18500^b) + 0.5 = 10000^b

    solve for b.
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  2. #2
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    Quote Originally Posted by derlin View Post
    I'm having trouble solving this equation for b, it is my understanding that I am not allowed to use graphing calculators to help, and i cant figure out how to solve this by hand. I've tried a bunch of methods, including using log rules, but still cant crakc it. any help appreciated.

    0.5(18500^b) + 0.5 = 10000^b

    solve for b.
    b=0 because anything to the power of 0 is 1.

    so 18500^0=1
    0.5*1=0.5
    +0.5= 1

    also 10000^0=1

    your welcome
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  3. #3
    Member eXist's Avatar
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    You're missing some answers usmel. I've been trying to figure this out algebraically but there is definately more than 1 solution. 0 is a solution, but there are others as well.
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  4. #4
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    sad face
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  5. #5
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    yea, I used my calculator and 1.12667 is also an answer, but i really have no idea how to get there
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  6. #6
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    I have a feeling that whoever gave you that problem "thinks" there is
    only 1 solution: usmel's solution.
    Iteration is required to find any others.
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  7. #7
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    ok, thanks guys.

    By the way, what is iteration?
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  8. #8
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    solving using iteration - Google Search=

    Ye olde Google search...
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