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Simplifying log(5 + 12x) = log(x + -1) (5 * glo + 12x * glo) = log(x + -1) (5glo + 12glox) = log(x + -1) Reorder the terms: 5glo + 12glox = glo(-1 + x) 5glo + 12glox = (-1 * glo + x * glo) 5glo + 12glox = (-1glo + glox) Solving 5glo + 12glox = -1glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'glo' to each side of the equation. 5glo + glo + 12glox = -1glo + glo + glox Combine like terms: 5glo + glo = 6glo 6glo + 12glox = -1glo + glo + glox Combine like terms: -1glo + glo = 0 6glo + 12glox = 0 + glox 6glo + 12glox = glox Add '-1glox' to each side of the equation. 6glo + 12glox + -1glox = glox + -1glox Combine like terms: 12glox + -1glox = 11glox 6glo + 11glox = glox + -1glox Combine like terms: glox + -1glox = 0 6glo + 11glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(6 + 11x) = 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 '(6 + 11x)' equal to zero and attempt to solve: Simplifying 6 + 11x = 0 Solving 6 + 11x = 0 Move all terms containing g to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 11x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 11x = 0 + -6 11x = 0 + -6 Combine like terms: 0 + -6 = -6 11x = -6 Add '-11x' to each side of the equation. 11x + -11x = -6 + -11x Combine like terms: 11x + -11x = 0 0 = -6 + -11x Simplifying 0 = -6 + -11x 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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