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Simplifying log(x + -15) = log(6x) Reorder the terms: glo(-15 + x) = log(6x) (-15 * glo + x * glo) = log(6x) (-15glo + glox) = log(6x) Remove parenthesis around (6x) -15glo + glox = glo * 6x Reorder the terms for easier multiplication: -15glo + glox = 6glo * x Multiply glo * x -15glo + glox = 6glox Solving -15glo + glox = 6glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6glox' to each side of the equation. -15glo + glox + -6glox = 6glox + -6glox Combine like terms: glox + -6glox = -5glox -15glo + -5glox = 6glox + -6glox Combine like terms: 6glox + -6glox = 0 -15glo + -5glox = 0 Factor out the Greatest Common Factor (GCF), '-5glo'. -5glo(3 + x) = 0 Ignore the factor -5.Subproblem 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 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Add '-1x' to each side of the equation. x + -1x = -3 + -1x Combine like terms: x + -1x = 0 0 = -3 + -1x Simplifying 0 = -3 + -1x 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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