SOLUTION: Solve for x log base 2 (3x)=log base 2(5x-8)

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Question 511559: Solve for x
log base 2 (3x)=log base 2(5x-8)

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x
log base 2 (3x)=log base 2(5x-8)
log2(3x)=log2(5x-8)
log2(3x)-log2(5x-8)=0
place under single log
log2(3x/(5x-8)=0
convert to exponential form: base(2) raised to log of number(0)=number(3x/(5x-8)
2^0=(3x/(5x-8)=1
3x=5x-8
2x=8
x=4