0=3logX-4logY

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Solution for 0=3logX-4logY equation:


Simplifying
0 = 3logX + -4logY

Solving
0 = 3gloX + -4gloY

Solving for variable 'g'.

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

Add '-3gloX' to each side of the equation.
0 + -3gloX = 3gloX + -3gloX + -4gloY
Remove the zero:
-3gloX = 3gloX + -3gloX + -4gloY

Combine like terms: 3gloX + -3gloX = 0
-3gloX = 0 + -4gloY
-3gloX = -4gloY

Add '4gloY' to each side of the equation.
-3gloX + 4gloY = -4gloY + 4gloY

Combine like terms: -4gloY + 4gloY = 0
-3gloX + 4gloY = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-3X + 4Y) = 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 '(-3X + 4Y)' equal to zero and attempt to solve: Simplifying -3X + 4Y = 0 Solving -3X + 4Y = 0 Move all terms containing g to the left, all other terms to the right. Add '3X' to each side of the equation. -3X + 3X + 4Y = 0 + 3X Combine like terms: -3X + 3X = 0 0 + 4Y = 0 + 3X 4Y = 0 + 3X Remove the zero: 4Y = 3X Add '-4Y' to each side of the equation. 4Y + -4Y = 3X + -4Y Combine like terms: 4Y + -4Y = 0 0 = 3X + -4Y Simplifying 0 = 3X + -4Y 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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