Solve for y: y = (1/2)^(3-x) - 2
The expression y = (1/2)^(3-x) - 2 can be simplified to find the value of y. Here's how to approach it:
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Simplify the exponent: (1/2)^(3-x) is the same as (1/2)^3 * (1/2)^(-x). This simplifies to 1/8 * 2^x.
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Combine y terms: The equation now becomes y = 1/8 * 2^x - 2y. To isolate y, add 2y to both sides: 3y = 1/8 * 2^x.
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Solve for y: Divide both sides by 3 to get y = (1/24) * 2^x.
Therefore, the solution for the equation y = (1/2)^(3-x) - 2 is y = (1/24) * 2^x.
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