SOLUTION: can you please show me step by step of 3/2log[2]4-1/2log[2]x=3

Question 420525: can you please show me step by step of 3/2log[2]4-1/2log[2]x=3
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
can you please show me step by step of 3/2log[2]4-1/2log[2]x=3
..
3/2log[2]4-1/2log[2]x=3
log2(4^(3/2))-log2x^(1/2)=3
Using division rule for logs
log2((4^(3/2))/x^(1/2)=3
convert to exponential form(base raised to the log of the number=number)
2^3=(4^(3/2))/x^(1/2)=8
8/sqrt(x)=8
8*sqrt(x)=8
sqrt(x)=1
ans:x=1

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