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Simplifying Log(4x + 3) = log(2x + 13) Reorder the terms: goL(3 + 4x) = log(2x + 13) (3 * goL + 4x * goL) = log(2x + 13) (3goL + 4goxL) = log(2x + 13) Reorder the terms: 3goL + 4goxL = glo(13 + 2x) 3goL + 4goxL = (13 * glo + 2x * glo) 3goL + 4goxL = (13glo + 2glox) Solving 3goL + 4goxL = 13glo + 2glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-13glo' to each side of the equation. 3goL + -13glo + 4goxL = 13glo + -13glo + 2glox Reorder the terms: -13glo + 3goL + 4goxL = 13glo + -13glo + 2glox Combine like terms: 13glo + -13glo = 0 -13glo + 3goL + 4goxL = 0 + 2glox -13glo + 3goL + 4goxL = 2glox Add '-2glox' to each side of the equation. -13glo + 3goL + -2glox + 4goxL = 2glox + -2glox Reorder the terms: -13glo + -2glox + 3goL + 4goxL = 2glox + -2glox Combine like terms: 2glox + -2glox = 0 -13glo + -2glox + 3goL + 4goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-13l + -2lx + 3L + 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 '(-13l + -2lx + 3L + 4xL)' equal to zero and attempt to solve: Simplifying -13l + -2lx + 3L + 4xL = 0 Reorder the terms: 3L + -13l + -2lx + 4xL = 0 Solving 3L + -13l + -2lx + 4xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-3L' to each side of the equation. 3L + -13l + -2lx + -3L + 4xL = 0 + -3L Reorder the terms: 3L + -3L + -13l + -2lx + 4xL = 0 + -3L Combine like terms: 3L + -3L = 0 0 + -13l + -2lx + 4xL = 0 + -3L -13l + -2lx + 4xL = 0 + -3L Remove the zero: -13l + -2lx + 4xL = -3L Add '13l' to each side of the equation. -13l + -2lx + 13l + 4xL = -3L + 13l Reorder the terms: -13l + 13l + -2lx + 4xL = -3L + 13l Combine like terms: -13l + 13l = 0 0 + -2lx + 4xL = -3L + 13l -2lx + 4xL = -3L + 13l Add '2lx' to each side of the equation. -2lx + 2lx + 4xL = -3L + 13l + 2lx Combine like terms: -2lx + 2lx = 0 0 + 4xL = -3L + 13l + 2lx 4xL = -3L + 13l + 2lx Add '-4xL' to each side of the equation. 4xL + -4xL = -3L + 13l + 2lx + -4xL Combine like terms: 4xL + -4xL = 0 0 = -3L + 13l + 2lx + -4xL Simplifying 0 = -3L + 13l + 2lx + -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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