Hiding Surprises Under Exponents
Find all real values of x that satisfy (x^{2}5x+5)^{x29x+20}=1.
What makes this problem interesting?
Can you solve this problem graphically using a TIcalculator?
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.....
