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