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Simplifying Log[9](x + 12) + -1log[9](x + 2) = log[9] * x Reorder the terms: goL * 9(12 + x) + -1log[9](x + 2) = log[9] * x Reorder the terms for easier multiplication: 9goL(12 + x) + -1log[9](x + 2) = log[9] * x (12 * 9goL + x * 9goL) + -1log[9](x + 2) = log[9] * x (108goL + 9goxL) + -1log[9](x + 2) = log[9] * x Reorder the terms: 108goL + 9goxL + -1glo * 9(2 + x) = log[9] * x Reorder the terms for easier multiplication: 108goL + 9goxL + -1 * 9glo(2 + x) = log[9] * x Multiply -1 * 9 108goL + 9goxL + -9glo(2 + x) = log[9] * x 108goL + 9goxL + (2 * -9glo + x * -9glo) = log[9] * x 108goL + 9goxL + (-18glo + -9glox) = log[9] * x Reorder the terms: -18glo + -9glox + 108goL + 9goxL = log[9] * x Reorder the terms for easier multiplication: -18glo + -9glox + 108goL + 9goxL = 9glo * x Multiply glo * x -18glo + -9glox + 108goL + 9goxL = 9glox Solving -18glo + -9glox + 108goL + 9goxL = 9glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-9glox' to each side of the equation. -18glo + -9glox + 108goL + -9glox + 9goxL = 9glox + -9glox Reorder the terms: -18glo + -9glox + -9glox + 108goL + 9goxL = 9glox + -9glox Combine like terms: -9glox + -9glox = -18glox -18glo + -18glox + 108goL + 9goxL = 9glox + -9glox Combine like terms: 9glox + -9glox = 0 -18glo + -18glox + 108goL + 9goxL = 0 Factor out the Greatest Common Factor (GCF), '9go'. 9go(-2l + -2lx + 12L + xL) = 0 Ignore the factor 9.Subproblem 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 + 12L + xL)' equal to zero and attempt to solve: Simplifying -2l + -2lx + 12L + xL = 0 Reorder the terms: 12L + -2l + -2lx + xL = 0 Solving 12L + -2l + -2lx + 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 + -2l + -2lx + -12L + xL = 0 + -12L Reorder the terms: 12L + -12L + -2l + -2lx + xL = 0 + -12L Combine like terms: 12L + -12L = 0 0 + -2l + -2lx + xL = 0 + -12L -2l + -2lx + xL = 0 + -12L Remove the zero: -2l + -2lx + xL = -12L Add '2l' to each side of the equation. -2l + -2lx + 2l + xL = -12L + 2l Reorder the terms: -2l + 2l + -2lx + xL = -12L + 2l Combine like terms: -2l + 2l = 0 0 + -2lx + xL = -12L + 2l -2lx + xL = -12L + 2l Add '2lx' to each side of the equation. -2lx + 2lx + xL = -12L + 2l + 2lx Combine like terms: -2lx + 2lx = 0 0 + xL = -12L + 2l + 2lx xL = -12L + 2l + 2lx Add '-1xL' to each side of the equation. xL + -1xL = -12L + 2l + 2lx + -1xL Combine like terms: xL + -1xL = 0 0 = -12L + 2l + 2lx + -1xL Simplifying 0 = -12L + 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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