SOLUTION: 4^x + 6(4^-x)= 5 slove for x Im not sure how to do this question? would i get two answers for x ?? and can u place a = 4^x to make it easier?

Question 561251: 4^x + 6(4^-x)= 5 slove for x
Im not sure how to do this question? would i get two answers for x ?? and can u place a = 4^x to make it easier?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
4^x + 6(4^-x)= 5 slove for x
4^x + 6/(4^x)= 5
LCD:4^x
4^2x+6=5^4^x
4^2x-5^4^x+6=0
..
let u=4^x
u^2=4^2x
u^2-5u+6=0
(u-3)(u-2)
For u=2
2=4^x=2^2x
1=2x
x=1/2
For u=3
3=4^x
log3=xlog4
x=log3/log4
x≈0.79248...
ans:
x=1/2 or 0.79248...
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