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March 26, 2017

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2^2x-1 - 3 times 2^x-1 + 1 = 0

  • Algebra - ,

    if either term is 0, the whole thing is zero, so this is two problems:
    a) 2^(2x-1) - 3 = 0
    or
    b) 2^(x-1) + 1 = 0
    NOTE - You did not give me parentheses, so I am guessing what you mean.
    problem a
    2^(2x-1) = 3
    (2x-1) log 2 = log 3
    (2x-1) = .477/.301 = 1.58
    2x = 2.58
    x = 1.29
    or
    problem b
    2^(x-1) = -1
    there is no such thing as log -1. I am stuck, no solution
    the question is: Two to what power = -1
    There is no such power.
    therefore the only solution is problem a

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