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9/28/2008

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Hiding Surprises Under Exponents

Find all real values of x that satisfy (x²-5x+5)^x²-9x+20=1.

What makes this problem interesting?

Can you solve this problem graphically using a TI-calculator?

Can you generalize the problem?

Hint: The Key is = 1.

Focus on the base and its properties...then on the exponent and its properties...then try to think collectively.

Solution Commentary: This problem is as easy as 1, 2, 3, 4.....