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If 3^x = 3/5 find the value of 3^(x-3) 2. If 4^(2g-2) = 3, find the value of 2^(2g-3)

1. If 3^x = 3/5 find the value of 3^(x-3)
2. If 4^(2g-2) = 3, find the value of 2^(2g-3)

Answer

  1. Given: 3x = 3/5. We need to find 3x-3.
    3x-3 = 3x / 33 = (3/5) / 27 = 3 / (5 * 27) = 1 / 45.

  2. Given: 42g-2 = 3. We need to find 22g-3.
    42g-2 = (22)2g-2 = 24g-4 = 3.
    We need 22g-3 = 24g-4 / 22g-1 = 3 / 2 = 3/2.

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