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red98
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Homework Statement
I'm sure this is easy but I've been looking at it for an hour and can't get anywhere. I have an equation that I need a linear form of.
Homework Equations
y = a*b*(x1*x22-(x3*x44/c))/(1+b*x1)
That's the equation I have to write a linear form of.
The Attempt at a Solution
I'm struggling to make a start, first thought was to try multiply the LHS by the 1+a*x1 that the RHS is divided by. Then take the natural log of both sides.
Assuming basic log laws I ended up separating it into:
2*ln(y) + ln(b) + ln(x1) = ln(a) + ln(b) + ln(x1) + 2*ln(x2) - ln(a) + ln(b) + ln(c) + ln(x3) + 4*ln(x4)
I know this is wrong since it cancels to
2*ln(y) = ln (b) + 2*ln(x2) + ln(c) + ln(x3) + 4*ln(x4)
And that would mean the constant a vanishes as does x1. I guess I'm approaching the linearization wrong, that or my interpretation of log laws is flawed?
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