SOLUTION: Please solve for x: 3^(2x)-10*3^x+9=0

Question 141816: Please solve for x:
3^(2x)-10*3^x+9=0
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Solve for x:

Try this:
Temporarily change variables by letting:
and Make the appropriate substitutions:
Factor:
Apply the zero product rule:
or so that...
or Now exchange z for
or
Make the following substitutions:
and
or Now, if then , so...
means that
means that
Solutions:
x = 0
x = 2
Check:
Substitute x = 0
Simplify.

OK!
Substitute x = 2
Simplify:

OK!

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