Posted by **Karin** on Saturday, April 10, 2010 at 11:55pm.

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 -
**drwls**, Sunday, April 11, 2010 at 1:16am
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

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