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Simplifying Log(x + -2) + log(x + 2) = log * 3x Reorder the terms: goL(-2 + x) + log(x + 2) = log * 3x (-2 * goL + x * goL) + log(x + 2) = log * 3x (-2goL + goxL) + log(x + 2) = log * 3x Reorder the terms: -2goL + goxL + glo(2 + x) = log * 3x -2goL + goxL + (2 * glo + x * glo) = log * 3x -2goL + goxL + (2glo + glox) = log * 3x Reorder the terms: 2glo + glox + -2goL + goxL = log * 3x Reorder the terms for easier multiplication: 2glo + glox + -2goL + goxL = 3glo * x Multiply glo * x 2glo + glox + -2goL + goxL = 3glox Solving 2glo + glox + -2goL + goxL = 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. 2glo + glox + -2goL + -3glox + goxL = 3glox + -3glox Reorder the terms: 2glo + glox + -3glox + -2goL + goxL = 3glox + -3glox Combine like terms: glox + -3glox = -2glox 2glo + -2glox + -2goL + goxL = 3glox + -3glox Combine like terms: 3glox + -3glox = 0 2glo + -2glox + -2goL + goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(2l + -2lx + -2L + 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 '(2l + -2lx + -2L + xL)' equal to zero and attempt to solve: Simplifying 2l + -2lx + -2L + xL = 0 Reorder the terms: -2L + 2l + -2lx + xL = 0 Solving -2L + 2l + -2lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '2L' to each side of the equation. -2L + 2l + -2lx + 2L + xL = 0 + 2L Reorder the terms: -2L + 2L + 2l + -2lx + xL = 0 + 2L Combine like terms: -2L + 2L = 0 0 + 2l + -2lx + xL = 0 + 2L 2l + -2lx + xL = 0 + 2L Remove the zero: 2l + -2lx + xL = 2L Add '-2l' to each side of the equation. 2l + -2lx + -2l + xL = 2L + -2l Reorder the terms: 2l + -2l + -2lx + xL = 2L + -2l Combine like terms: 2l + -2l = 0 0 + -2lx + xL = 2L + -2l -2lx + xL = 2L + -2l Add '2lx' to each side of the equation. -2lx + 2lx + xL = 2L + -2l + 2lx Combine like terms: -2lx + 2lx = 0 0 + xL = 2L + -2l + 2lx xL = 2L + -2l + 2lx Add '-1xL' to each side of the equation. xL + -1xL = 2L + -2l + 2lx + -1xL Combine like terms: xL + -1xL = 0 0 = 2L + -2l + 2lx + -1xL Simplifying 0 = 2L + -2l + 2lx + -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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