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Simplifying log(x + 15) = log(15x) Reorder the terms: glo(15 + x) = log(15x) (15 * glo + x * glo) = log(15x) (15glo + glox) = log(15x) Remove parenthesis around (15x) 15glo + glox = glo * 15x Reorder the terms for easier multiplication: 15glo + glox = 15glo * x Multiply glo * x 15glo + glox = 15glox Solving 15glo + glox = 15glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-15glox' to each side of the equation. 15glo + glox + -15glox = 15glox + -15glox Combine like terms: glox + -15glox = -14glox 15glo + -14glox = 15glox + -15glox Combine like terms: 15glox + -15glox = 0 15glo + -14glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(15 + -14x) = 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 '(15 + -14x)' equal to zero and attempt to solve: Simplifying 15 + -14x = 0 Solving 15 + -14x = 0 Move all terms containing g to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -14x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -14x = 0 + -15 -14x = 0 + -15 Combine like terms: 0 + -15 = -15 -14x = -15 Add '14x' to each side of the equation. -14x + 14x = -15 + 14x Combine like terms: -14x + 14x = 0 0 = -15 + 14x Simplifying 0 = -15 + 14x 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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