xlogy+ylogx=logv

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Solution for xlogy+ylogx=logv equation:


Simplifying
xlogy + ylogx = logv

Combine like terms: gloxy + gloxy = 2gloxy
2gloxy = logv

Solving
2gloxy = glov

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Add '-1glov' to each side of the equation.
-1glov + 2gloxy = glov + -1glov

Combine like terms: glov + -1glov = 0
-1glov + 2gloxy = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-1v + 2xy) = 0

Subproblem 1

Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-1v + 2xy)' equal to zero and attempt to solve: Simplifying -1v + 2xy = 0 Solving -1v + 2xy = 0 Move all terms containing g to the left, all other terms to the right. Add 'v' to each side of the equation. -1v + v + 2xy = 0 + v Combine like terms: -1v + v = 0 0 + 2xy = 0 + v 2xy = 0 + v Remove the zero: 2xy = v Add '-2xy' to each side of the equation. 2xy + -2xy = v + -2xy Combine like terms: 2xy + -2xy = 0 0 = v + -2xy Simplifying 0 = v + -2xy The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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