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First of all, greetings to the scientific community here at Physics Forums.
The following set of equations is given:
y^(x-3y) = x^2
x^(x-3y) = y^8
With the next assumption given: x-3y is unequal to (-4).
My attempt was to isolate the y variable in both of the equations so that i will be able to divide the the equations and receive a simple x^a = b equations. This did not help, because the powers of the x's included the y, with no option to get rid of it.
I Would like your assistance with finding the shortest, most efficient, non-logarithmic way to solve this question, asap.
The following set of equations is given:
y^(x-3y) = x^2
x^(x-3y) = y^8
With the next assumption given: x-3y is unequal to (-4).
My attempt was to isolate the y variable in both of the equations so that i will be able to divide the the equations and receive a simple x^a = b equations. This did not help, because the powers of the x's included the y, with no option to get rid of it.
I Would like your assistance with finding the shortest, most efficient, non-logarithmic way to solve this question, asap.
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