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college algebra

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Solve the exponential equation using logarithms. Give the answer in decimal form, rounding to four decimal places. (Enter your answers as a comma-separated list.)
4x − 3 = 32x
x = _____

  • college algebra - ,

    I assume you meant

    4^(x-3) = 32^x
    Since 4=2^2 and 32=2^5, we have
    2^(2x-6) = 2^(5x)
    2x-6 = 5x
    3x = -6
    x = -2

    Check: 4^(-5) = 2^-10
    32^(-2) = 2^-10

  • college algebra - ,

    no it looks more like this:

    4^(x-3)=3^2x

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