SOLUTION: how can i solve the equation: Log √x=√logx

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Question 757925: how can i solve the equation: Log √x=√logx
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Log √x=√logx
(1/2)log√x=√logx
square both sides
1/4(logx)^2=logx
1/4(logx)=1
logx=4
x=10^4=10,000
check:
log√x=log(√10^4)=log(10^2)=2
√(logx)=√4=2