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Simplifying log(x) + -1log(x + -13) = log(15x) Multiply glo * x glox + -1log(x + -13) = log(15x) Reorder the terms: glox + -1glo(-13 + x) = log(15x) glox + (-13 * -1glo + x * -1glo) = log(15x) glox + (13glo + -1glox) = log(15x) Reorder the terms: 13glo + glox + -1glox = log(15x) Combine like terms: glox + -1glox = 0 13glo + 0 = log(15x) 13glo = log(15x) Remove parenthesis around (15x) 13glo = glo * 15x Reorder the terms for easier multiplication: 13glo = 15glo * x Multiply glo * x 13glo = 15glox Solving 13glo = 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. 13glo + -15glox = 15glox + -15glox Combine like terms: 15glox + -15glox = 0 13glo + -15glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(13 + -15x) = 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 '(13 + -15x)' equal to zero and attempt to solve: Simplifying 13 + -15x = 0 Solving 13 + -15x = 0 Move all terms containing g to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -15x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -15x = 0 + -13 -15x = 0 + -13 Combine like terms: 0 + -13 = -13 -15x = -13 Add '15x' to each side of the equation. -15x + 15x = -13 + 15x Combine like terms: -15x + 15x = 0 0 = -13 + 15x Simplifying 0 = -13 + 15x 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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