SOLUTION: Solve for x: 4^x + 6(4^(-x)) = 5

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Question 1064627: Solve for x: 4^x + 6(4^(-x)) = 5
Found 2 solutions by ds60805, Fombitz:
Answer by ds60805(1) About Me  (Show Source):
You can put this solution on YOUR website!
The solution to this equation could not be determined. The x value is irrelevant to the exact value of -11.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
4%5Ex%2B6%2F4%5Ex=5
Substituting,
u%2B6%2Fu=5
u%5E2%2B6=5u
u%5E2-5u%2B6=0
%28u-3%29%28u-2%29=0
Two potential solutions:
u-3=0
u=3
4%5Ex=3
x=log%284%2C%283%29%29
highlight%28x=log%28%283%29%29%2Flog%28%284%29%29%29
and
u-2=0
u=2
4%5Ex=2
highlight%28x=1%2F2%29
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