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Simplifying log(x2 + -3) = 2log(x + 1) Reorder the terms: glo(-3 + x2) = 2log(x + 1) (-3 * glo + x2 * glo) = 2log(x + 1) (-3glo + glox2) = 2log(x + 1) Reorder the terms: -3glo + glox2 = 2glo(1 + x) -3glo + glox2 = (1 * 2glo + x * 2glo) -3glo + glox2 = (2glo + 2glox) Solving -3glo + glox2 = 2glo + 2glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2glo' to each side of the equation. -3glo + -2glo + glox2 = 2glo + -2glo + 2glox Combine like terms: -3glo + -2glo = -5glo -5glo + glox2 = 2glo + -2glo + 2glox Combine like terms: 2glo + -2glo = 0 -5glo + glox2 = 0 + 2glox -5glo + glox2 = 2glox Add '-2glox' to each side of the equation. -5glo + -2glox + glox2 = 2glox + -2glox Combine like terms: 2glox + -2glox = 0 -5glo + -2glox + glox2 = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-5 + -2x + x2) = 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 '(-5 + -2x + x2)' equal to zero and attempt to solve: Simplifying -5 + -2x + x2 = 0 Solving -5 + -2x + x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -2x + 5 + x2 = 0 + 5 Reorder the terms: -5 + 5 + -2x + x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x + x2 = 0 + 5 -2x + x2 = 0 + 5 Combine like terms: 0 + 5 = 5 -2x + x2 = 5 Add '2x' to each side of the equation. -2x + 2x + x2 = 5 + 2x Combine like terms: -2x + 2x = 0 0 + x2 = 5 + 2x x2 = 5 + 2x Add '-1x2' to each side of the equation. x2 + -1x2 = 5 + 2x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 5 + 2x + -1x2 Simplifying 0 = 5 + 2x + -1x2 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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