SOLUTION: Express x in terms of y: 2(log(2)y-4log(2)x)=4

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Question 984279: Express x in terms of y: 2(log(2)y-4log(2)x)=4
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
2log%282%2Cy%29-4log%282%2Cx%29=4

log%282%2C%28y%5E2%29%29-log%282%2C%28x%5E4%29%29=2%5E2

log%282%2C%28y%5E2%2Fx%5E4%29%29=2%5E2=4

2%5E4=%28y%5E2%2Fx%5E4%29

16=y%5E2%2Fx%5E4

16x%5E4=y%5E2

x%5E4=y%5E2%2F16, all even powers

highlight%28x=0%2B-+sqrt%28y%29%2F2%29