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Simplifying 3log(x + -5) = log(35 + -1x3) Reorder the terms: 3glo(-5 + x) = log(35 + -1x3) (-5 * 3glo + x * 3glo) = log(35 + -1x3) (-15glo + 3glox) = log(35 + -1x3) -15glo + 3glox = (35 * glo + -1x3 * glo) -15glo + 3glox = (35glo + -1glox3) Solving -15glo + 3glox = 35glo + -1glox3 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-35glo' to each side of the equation. -15glo + -35glo + 3glox = 35glo + -35glo + -1glox3 Combine like terms: -15glo + -35glo = -50glo -50glo + 3glox = 35glo + -35glo + -1glox3 Combine like terms: 35glo + -35glo = 0 -50glo + 3glox = 0 + -1glox3 -50glo + 3glox = -1glox3 Add 'glox3' to each side of the equation. -50glo + 3glox + glox3 = -1glox3 + glox3 Combine like terms: -1glox3 + glox3 = 0 -50glo + 3glox + glox3 = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-50 + 3x + x3) = 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 '(-50 + 3x + x3)' equal to zero and attempt to solve: Simplifying -50 + 3x + x3 = 0 Solving -50 + 3x + x3 = 0 Move all terms containing g to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 3x + 50 + x3 = 0 + 50 Reorder the terms: -50 + 50 + 3x + x3 = 0 + 50 Combine like terms: -50 + 50 = 0 0 + 3x + x3 = 0 + 50 3x + x3 = 0 + 50 Combine like terms: 0 + 50 = 50 3x + x3 = 50 Add '-3x' to each side of the equation. 3x + -3x + x3 = 50 + -3x Combine like terms: 3x + -3x = 0 0 + x3 = 50 + -3x x3 = 50 + -3x Add '-1x3' to each side of the equation. x3 + -1x3 = 50 + -3x + -1x3 Combine like terms: x3 + -1x3 = 0 0 = 50 + -3x + -1x3 Simplifying 0 = 50 + -3x + -1x3 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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