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solve for x: 8^x=(1/64)^(x-4)

  • Math -

    8^x = (1/64)^(x-4),

    8^x = (8^-2)(x-4),
    8^x = 8^(-2x+8),
    If 2 equal numbers have equal bases,their exponents are also equal:
    x = -2x+8,
    x+2x = 8,
    3x = 8,

    x = 8/3.

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