SOLUTION: 5^(х^2-8х+12)=1

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Question 674173: 5^(х^2-8х+12)=1
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

5%5E%28x%5E2-8x%2B12%29=1.....factor and replace 1 with 5%5E0

5%5E%28%28x-2%29%28x-6%29%29=5%5E0...same base, same exponents

%28x-2%29%28x-6%29=0
so,
if %28x-2%29=0.->...highlight%28x=2%29
and
if %28x-6%29=0.->...highlight%28x=6%29