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math

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I tried everthing but,I couldn't solve it. Please help me.the answer at the back is 40960.13

question: solve for x and check your solution.

logx/log2 + logx/log4 + logx/log8 + logx/log16 = 25

THANK YOU FOR YOUR KIND HELP!!!!

  • math - ,

    Multiply both sides by log16.
    log16/log2=4
    log16/log4=2
    log16/log8=4/3
    log16/log16=1
    logx(4+2+4/3+1)=25*log16
    logx=3*log16
    logx=log(16^3)
    x=16^3=4096 (check the answer at the back)

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