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Simplifying Log(9d + 3) = log(3d + -9) Reorder the terms: goL(3 + 9d) = log(3d + -9) (3 * goL + 9d * goL) = log(3d + -9) Reorder the terms: (9dgoL + 3goL) = log(3d + -9) (9dgoL + 3goL) = log(3d + -9) Reorder the terms: 9dgoL + 3goL = glo(-9 + 3d) 9dgoL + 3goL = (-9 * glo + 3d * glo) Reorder the terms: 9dgoL + 3goL = (3dglo + -9glo) 9dgoL + 3goL = (3dglo + -9glo) Solving 9dgoL + 3goL = 3dglo + -9glo Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3dglo' to each side of the equation. 9dgoL + -3dglo + 3goL = 3dglo + -3dglo + -9glo Reorder the terms: -3dglo + 9dgoL + 3goL = 3dglo + -3dglo + -9glo Combine like terms: 3dglo + -3dglo = 0 -3dglo + 9dgoL + 3goL = 0 + -9glo -3dglo + 9dgoL + 3goL = -9glo Add '-3goL' to each side of the equation. -3dglo + 9dgoL + 3goL + -3goL = -9glo + -3goL Combine like terms: 3goL + -3goL = 0 -3dglo + 9dgoL + 0 = -9glo + -3goL -3dglo + 9dgoL = -9glo + -3goL Reorder the terms: -3dglo + 9dgoL + 9glo + 3goL = -9glo + 9glo + -3goL + 3goL Combine like terms: -9glo + 9glo = 0 -3dglo + 9dgoL + 9glo + 3goL = 0 + -3goL + 3goL -3dglo + 9dgoL + 9glo + 3goL = -3goL + 3goL Combine like terms: -3goL + 3goL = 0 -3dglo + 9dgoL + 9glo + 3goL = 0 Factor out the Greatest Common Factor (GCF), '3go'. 3go(-1dl + 3dL + 3l + L) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing d to the left, all other terms to the right. Add '-1go' to each side of the equation. go + -1go = 0 + -1go Remove the zero: 0 = -1go Simplifying 0 = -1go 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 '(-1dl + 3dL + 3l + L)' equal to zero and attempt to solve: Simplifying -1dl + 3dL + 3l + L = 0 Reorder the terms: L + 3dL + -1dl + 3l = 0 Solving L + 3dL + -1dl + 3l = 0 Move all terms containing d to the left, all other terms to the right. Add '-1L' to each side of the equation. L + 3dL + -1dl + -1L + 3l = 0 + -1L Reorder the terms: L + -1L + 3dL + -1dl + 3l = 0 + -1L Combine like terms: L + -1L = 0 0 + 3dL + -1dl + 3l = 0 + -1L 3dL + -1dl + 3l = 0 + -1L Remove the zero: 3dL + -1dl + 3l = -1L Add '-3l' to each side of the equation. 3dL + -1dl + 3l + -3l = -1L + -3l Combine like terms: 3l + -3l = 0 3dL + -1dl + 0 = -1L + -3l 3dL + -1dl = -1L + -3l 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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