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Simplifying log(x2 + 3) = log(x + 6) Reorder the terms: glo(3 + x2) = log(x + 6) (3 * glo + x2 * glo) = log(x + 6) (3glo + glox2) = log(x + 6) Reorder the terms: 3glo + glox2 = glo(6 + x) 3glo + glox2 = (6 * glo + x * glo) 3glo + glox2 = (6glo + glox) Solving 3glo + glox2 = 6glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6glo' to each side of the equation. 3glo + -6glo + glox2 = 6glo + -6glo + glox Combine like terms: 3glo + -6glo = -3glo -3glo + glox2 = 6glo + -6glo + glox Combine like terms: 6glo + -6glo = 0 -3glo + glox2 = 0 + glox -3glo + glox2 = glox Add '-1glox' to each side of the equation. -3glo + -1glox + glox2 = glox + -1glox Combine like terms: glox + -1glox = 0 -3glo + -1glox + glox2 = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-3 + -1x + 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 '(-3 + -1x + x2)' equal to zero and attempt to solve: Simplifying -3 + -1x + x2 = 0 Solving -3 + -1x + x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -1x + 3 + x2 = 0 + 3 Reorder the terms: -3 + 3 + -1x + x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x + x2 = 0 + 3 -1x + x2 = 0 + 3 Combine like terms: 0 + 3 = 3 -1x + x2 = 3 Add 'x' to each side of the equation. -1x + x + x2 = 3 + x Combine like terms: -1x + x = 0 0 + x2 = 3 + x x2 = 3 + x Add '-1x2' to each side of the equation. x2 + -1x2 = 3 + x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 3 + x + -1x2 Simplifying 0 = 3 + x + -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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