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math

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1/2 to the power of x = 1152
what is "x" in this situation? please help!

  • math - ,

    (1/2)^x = 1152

    rewrite as,
    2^(-x) = 1152
    Take the logarithm to the base 2 of both sides:
    -x log 2 = log 1152
    -x = (log(1152))/(log(2))
    Divide both sides by -1:
    x = -(log(1152))/(log(2))
    x = - 3.061452/0.3010299
    x = -10.1699

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