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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.)
4^(x − 3) = 3^(2x)
x = _____

  • college algebra - ,

    4^(x-3) = 3^(2x)
    (x-3)*Log4 = 2x*Log 3
    Divide both sides by Log 4:
    x-3 = 2x * 0.79248 = 1.5850x
    x - 1.5850x = 3
    -0.5850x = 3
    X = -5.1282

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