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Math Help - Powers and Constants

  1. #1
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    Powers and Constants

    How would I go about solve for x in this equation:

    2^{(2x+2)}-17\times2^x+4=0

    How would I go about solving it since 17 isn't a power of 2 and I can't figure out a way to take 17?
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  2. #2
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    17 = 16+1 = 2^4 + 1, but you may not even need this.

    Let y= 2^x

    will that help?
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  3. #3
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    2^{(2x+2)}-17\times2^x+4=0

    2^{2}\times 2^{2x}-17\times2^x+4=0

    4\times 2^{2x}-17\times2^x+4=0

    make a = 2^x

    4 a^2-17a+4=0

    Now you have a quadratic. Can you you solve it from here?
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