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Simplifying g(x) = [log(4X3 + -3X2)] Multiply g * x gx = [log(4X3 + -3X2)] Reorder the terms: gx = [glo(-3X2 + 4X3)] gx = [(-3X2 * glo + 4X3 * glo)] gx = [(-3gloX2 + 4gloX3)] gx = [-3gloX2 + 4gloX3] Remove brackets around [-3gloX2 + 4gloX3] gx = -3gloX2 + 4gloX3 Solving gx = -3gloX2 + 4gloX3 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '3gloX2' to each side of the equation. 3gloX2 + gx = -3gloX2 + 3gloX2 + 4gloX3 Combine like terms: -3gloX2 + 3gloX2 = 0 3gloX2 + gx = 0 + 4gloX3 3gloX2 + gx = 4gloX3 Add '-4gloX3' to each side of the equation. 3gloX2 + -4gloX3 + gx = 4gloX3 + -4gloX3 Combine like terms: 4gloX3 + -4gloX3 = 0 3gloX2 + -4gloX3 + gx = 0 Factor out the Greatest Common Factor (GCF), 'g'. g(3loX2 + -4loX3 + x) = 0Subproblem 1
Set the factor 'g' equal to zero and attempt to solve: Simplifying g = 0 Solving g = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g = 0Subproblem 2
Set the factor '(3loX2 + -4loX3 + x)' equal to zero and attempt to solve: Simplifying 3loX2 + -4loX3 + x = 0 Solving 3loX2 + -4loX3 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-3loX2' to each side of the equation. 3loX2 + -4loX3 + -3loX2 + x = 0 + -3loX2 Reorder the terms: 3loX2 + -3loX2 + -4loX3 + x = 0 + -3loX2 Combine like terms: 3loX2 + -3loX2 = 0 0 + -4loX3 + x = 0 + -3loX2 -4loX3 + x = 0 + -3loX2 Remove the zero: -4loX3 + x = -3loX2 Add '4loX3' to each side of the equation. -4loX3 + 4loX3 + x = -3loX2 + 4loX3 Combine like terms: -4loX3 + 4loX3 = 0 0 + x = -3loX2 + 4loX3 x = -3loX2 + 4loX3 Add '-1x' to each side of the equation. x + -1x = -3loX2 + 4loX3 + -1x Combine like terms: x + -1x = 0 0 = -3loX2 + 4loX3 + -1x Simplifying 0 = -3loX2 + 4loX3 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
g = {0}
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