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