SOLUTION: Solve for x: log(x^6)=(log x)^2 Note, there are 2 solutions, A and B where A<B. A=? B=? Any help would be greatly appreciated. I'm really stuck on this one. Thanks.

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Question 241478: Solve for x: log(x^6)=(log x)^2
Note, there are 2 solutions, A and B where A A=?
B=?
Any help would be greatly appreciated. I'm really stuck on this one. Thanks.
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
log(x^6)=(log x)^2
(log x)^2 = 6log(x)
(log x)^2 - 6log(x) = 0
log(x) * [log(x) - 6] = 0
log(x) = 0 Ignore this one
log(x) = 6
x = 10^6 = 1,000,000

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Solve for x: log(x^6)=(log x)^2
----
6log(x) = (log(x))^2
----------------------------
Rewrite:
(log(x))^2 - 6log(x) = 0
Factor:
[log(x)][log(x)-6] = 0
----
log(x) = 0 or log(x) = 6
x = 10^0 = 1 or x = 10^6 = 1,000,000
==========================================
Cheers,
Stan H.