SOLUTION: 3^(4√x) - 4*3^(2√x) + 3 =0 Solve for x

Question 1027618: 3^(4√x) - 4*3^(2√x) + 3 =0
Solve for x
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Starting from

we will make a quick substitution...
Let
Once we do that, our original equation becomes

Now factor and get
(y - 3)(y - 1) = 0
so that
y = 3 and y = 1
Now back-substitute and get

Take logs of everything and get

which leads to
and
so that
x = 1/4
And

so that
x = 0
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SOLUTION: 3^(4&#8730;x) - 4*3^(2&#8730;x) + 3 =0 Solve for x