SOLUTION: how to solve log₂(x²)=(log₂x)²

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Question 683836: how to solve log₂(x²)=(log₂x)²
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
how to solve:
log₂(x²)=(log₂x)²
2log2(x)=[log2(x)]^2
[log2(x)]^2-2log2(x)=0
log2(x)(log2(x)-2)=0
log2(x)=0 (reject, log2(x)>0)
log2(x)-2=0
log2(x)=2
x=4