SOLUTION: If {{{lg x^2y=a}}} and {{{lg (x/y) = b}}}, express {{{lg (y/x^2)}}} in terms of a and b.

Question 841628: If and , express in terms of a and b.
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
First Equation,

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Second Equation,

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Those give a system of equations in unknowns log(x) and log(y), which can be solved.
SYSTEM:
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2log(x)+log(y)=a
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log(x)-log(y)=b
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Elimination Method will be most efficient.
Add left members and add right members.

----Knowing this, find the formula for log(y).
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-----used substitution

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Almost done, ready to deal with the expression you want to transform.
SUMMARY:
and
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The target expression to transform,

Now substitute what were found for log(x) and log(y).

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