Indices

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  1. Ganhad's Avatar
    • Exalted Member
    • Posts: 365
    Indices
    2b) 5^3x * 25^x-2 = 1
    2^(3x-1) * 8^(x-1)= 128

    5) 81^(x)/27^(2x+1) = 9^(2x-5)/729 Solve This .

    7) Fermat stated that every whole number could be expressed as the sum of no more thakt four squares , so that, for example
    15=3^2+2^2+1^2+1^2
    139=9^2+7^2+3^2
    327=13^2+10^2+7^2+3^2

    do you think he was correct can you find a general formula for those numbers that require the sum of atleast four squares to make up the number itself?

    Help
  2. TenOfThem's Avatar
    • No --- I am a Newbie --- Honest
    Re: Indices
    What do you want help with

    Proving Fermat?
  3. Ganhad's Avatar
    • Exalted Member
    • Posts: 365
    Re: Indices
    2b) which i carry on getting the wrong answer and 5 i get for 2b = 15/2 and 5) 13/8 7) i dont get it
  4. TenOfThem's Avatar
    • No --- I am a Newbie --- Honest
    Re: Indices
    (Original post by Ganhad)
    2b) 5^3x * 25^x-2 = 1
    2^(3x-1) * 8^(x-1)= 128

    5) 81^(x)/27^(2x+1) = 9^(2x-5)/729

    5^{3x} * 25^{x-2} = 5^{3x} * 5^{2(x-2)}

    then apply the rules of indices

    ditto for the others ... you need to get everything with the same base
  5. Ganhad's Avatar
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    • Posts: 365
    Re: Indices
    after that i get it wrong and that doesnt work for the others
  6. TenOfThem's Avatar
    • No --- I am a Newbie --- Honest
    Re: Indices
    What do you do after that

    What is the actual answer if x is not 0.8
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