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Simplifying Log(12 + x) = log(12x) (12 * goL + x * goL) = log(12x) (12goL + goxL) = log(12x) Remove parenthesis around (12x) 12goL + goxL = glo * 12x Reorder the terms for easier multiplication: 12goL + goxL = 12glo * x Multiply glo * x 12goL + goxL = 12glox Solving 12goL + goxL = 12glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-12glox' to each side of the equation. 12goL + -12glox + goxL = 12glox + -12glox Reorder the terms: -12glox + 12goL + goxL = 12glox + -12glox Combine like terms: 12glox + -12glox = 0 -12glox + 12goL + goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-12lx + 12L + xL) = 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 '(-12lx + 12L + xL)' equal to zero and attempt to solve: Simplifying -12lx + 12L + xL = 0 Reorder the terms: 12L + -12lx + xL = 0 Solving 12L + -12lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-12L' to each side of the equation. 12L + -12lx + -12L + xL = 0 + -12L Reorder the terms: 12L + -12L + -12lx + xL = 0 + -12L Combine like terms: 12L + -12L = 0 0 + -12lx + xL = 0 + -12L -12lx + xL = 0 + -12L Remove the zero: -12lx + xL = -12L Add '12lx' to each side of the equation. -12lx + 12lx + xL = -12L + 12lx Combine like terms: -12lx + 12lx = 0 0 + xL = -12L + 12lx xL = -12L + 12lx Add '-1xL' to each side of the equation. xL + -1xL = -12L + 12lx + -1xL Combine like terms: xL + -1xL = 0 0 = -12L + 12lx + -1xL Simplifying 0 = -12L + 12lx + -1xL 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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