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

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Question 562605: Solve for x:
3log(base 2)x - 2log(base 2)5x=2
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
3log(base 2)x - 2log(base 2)5x=2
3log2(x)-2log2(5x)=2
log2(x^3)-log2((5x)^2)=2
log2[(x^3)/(25x^2)]=2
convert to exponential form: Base(2) raised to log of number(2)=number(x^3)/(25x^2)
2^2=(x^3)/(25x^2)
4=x/25
x=100