SOLUTION: What is log base 2 of x = 3-log base 2 of 2x

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Question 438437: What is log base 2 of x = 3-log base 2 of 2x
Found 2 solutions by Alan3354, lwsshak3:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
It's an unclear equation in x.

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
What is log base 2 of x = 3-log base 2 of 2x
..
log2(x)=3-log2(2x)
log2(x)+log2(2x)=3
log2(x*2x)=3
convert to exponential form:(base raised to log of number=number)
2^3=x*2x
8=2x^2
x^2=4
x=2
x=-2 (reject,x>0
ans:
x=2

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