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mathURGENT!!!!!!!

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if (4^x)-(4^x-1)=24 what is the value of (2x)^x? please answer and explain step by step how u got it... PLEASE?????

  • mathURGENT!!!!!!! - ,

    let u = 4^x
    then
    u - u/4 = 24
    3u = 96
    u = 32
    so, 4^x = 2^5
    but 4^x = 2^(2x), so
    2x = 5
    x = 5/2

    (2x)^x = 5^(5/2) = 25√5

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