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Simplifying Log(4x + 12) = 3logx Reorder the terms: goL(12 + 4x) = 3logx (12 * goL + 4x * goL) = 3logx (12goL + 4goxL) = 3logx Solving 12goL + 4goxL = 3glox 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. 12goL + -3glox + 4goxL = 3glox + -3glox Reorder the terms: -3glox + 12goL + 4goxL = 3glox + -3glox Combine like terms: 3glox + -3glox = 0 -3glox + 12goL + 4goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-3lx + 12L + 4xL) = 0Subproblem 1
Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(-3lx + 12L + 4xL)' equal to zero and attempt to solve: Simplifying -3lx + 12L + 4xL = 0 Reorder the terms: 12L + -3lx + 4xL = 0 Solving 12L + -3lx + 4xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-12L' to each side of the equation. 12L + -3lx + -12L + 4xL = 0 + -12L Reorder the terms: 12L + -12L + -3lx + 4xL = 0 + -12L Combine like terms: 12L + -12L = 0 0 + -3lx + 4xL = 0 + -12L -3lx + 4xL = 0 + -12L Remove the zero: -3lx + 4xL = -12L Add '3lx' to each side of the equation. -3lx + 3lx + 4xL = -12L + 3lx Combine like terms: -3lx + 3lx = 0 0 + 4xL = -12L + 3lx 4xL = -12L + 3lx Add '-4xL' to each side of the equation. 4xL + -4xL = -12L + 3lx + -4xL Combine like terms: 4xL + -4xL = 0 0 = -12L + 3lx + -4xL Simplifying 0 = -12L + 3lx + -4xL 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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