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