SOLUTION: Solve the following exponential equation: 3^(2x) -4(3^x) + 3 = 0

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Question 808426: Solve the following exponential equation: 3^(2x) -4(3^x) + 3 = 0
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
+3%5E%282x%29+-4%283%5Ex%29+%2B+3+=+0+
Let's call 3%5Ex by a different name:
3%5Ex=y --> 3%5E%282x%29=%283%5Ex%29%5E2=y%5E2
With that change of variable, the equation becomes
y%5E3-4y%2B3=0
Factoring it turns into
%28y-1%29%28y-3%29=0
with solutions y=1 and y=3
Returning to the original variable x ,
y=1 --> 3%5Ex=1 --> highlight%28x=0%29
or y=3 --> 3%5Ex=3 --> highlight%28x=1%29