math problem

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2^2x-1 = 32^x-2

2/x - 1/2x= 1/2
(2 over x minus 1 over 2x equals 1 over 2)

3/x + 8/x-5= 1
(3 over x plus 8 over x minus 5 equals 1)

  • math problem -

    2/x - 1/2x = 1/2
    Make a common denominator on the left.
    3/2x = 1/2
    Cross-multiply.
    2x = 6
    Divide both sides by 2.
    x = 3

    Now you try one.

    I am not sure what the exponents are in your first problem. If they are 2x-1 and x-2, rewrite the right side as a power of 2.
    2^(2x-1) = (2^5)^(x-2) = 2^(5x-10)
    The exponents of 2 must be equal.
    2x - 1 = 5x - 10
    3x = 9
    x = 3

  • math -

    x over 4 is equal to negitive 1

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