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Simplifying 2log(2x + 1) = log(X + 1) Reorder the terms: 2glo(1 + 2x) = log(X + 1) (1 * 2glo + 2x * 2glo) = log(X + 1) (2glo + 4glox) = log(X + 1) Reorder the terms: 2glo + 4glox = glo(1 + X) 2glo + 4glox = (1 * glo + X * glo) 2glo + 4glox = (1glo + gloX) Solving 2glo + 4glox = 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. 2glo + -1glo + 4glox = 1glo + -1glo + gloX Combine like terms: 2glo + -1glo = 1glo 1glo + 4glox = 1glo + -1glo + gloX Combine like terms: 1glo + -1glo = 0 1glo + 4glox = 0 + gloX 1glo + 4glox = gloX Add '-1gloX' to each side of the equation. 1glo + -1gloX + 4glox = gloX + -1gloX Combine like terms: gloX + -1gloX = 0 1glo + -1gloX + 4glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(1 + -1X + 4x) = 0Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 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 '(1 + -1X + 4x)' equal to zero and attempt to solve: Simplifying 1 + -1X + 4x = 0 Solving 1 + -1X + 4x = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1X + -1 + 4x = 0 + -1 Reorder the terms: 1 + -1 + -1X + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1X + 4x = 0 + -1 -1X + 4x = 0 + -1 Combine like terms: 0 + -1 = -1 -1X + 4x = -1 Add 'X' to each side of the equation. -1X + X + 4x = -1 + X Combine like terms: -1X + X = 0 0 + 4x = -1 + X 4x = -1 + X Add '-4x' to each side of the equation. 4x + -4x = -1 + X + -4x Combine like terms: 4x + -4x = 0 0 = -1 + X + -4x Simplifying 0 = -1 + X + -4x 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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