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Math Help - help in my sequence

  1. #1
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    help in my sequence

    (2,4,8,16,32,64,128,256,512,1024,......)

    if i have a number i want to know if it is in the sequence or not
    but i don't want the way which i will divide the number by 2 till i found it 2 or not i want a function from one or two steps to know if this number is from sequence or not
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  2. #2
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    Take the log using base 2. If the answer is an integer than your number is in the sequence
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  3. #3
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    Quote Originally Posted by e^(i*pi) View Post
    Take the log using base 2. If the answer is an integer than your number is in the sequence
    thx but what meant by log
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  4. #4
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    Look at 2^n.
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  5. #5
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    Your sequences is u_n = 2^n. By log I mean logarithm which is the inverse of exponentiation. \log_2(x) = \log_2(2^n) = n where x is the number you're wondering whether or not is in sequence
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  6. #6
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    thx this will help me alot
    thx also plato but i think the second method is easier
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  7. #7
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    That's very strange! You say that you do not know what a logarithm is but you think it will be easier to take the logarithm?

    If you really do not know about logarithms (especially taking the logarithm, base 2) I would recommend repeatedly dividing by 2. If you eventually arrive at 1 without any fractions, the number is a power of 2.
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  8. #8
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    Quote Originally Posted by HallsofIvy View Post
    That's very strange! You say that you do not know what a logarithm is but you think it will be easier to take the logarithm?

    If you really do not know about logarithms (especially taking the logarithm, base 2) I would recommend repeatedly dividing by 2. If you eventually arrive at 1 without any fractions, the number is a power of 2.
    i searched for lagorithm and learned it thx very much
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