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Simplifying log(x + 4) + -1logx = log(x + -5) Reorder the terms: glo(4 + x) + -1logx = log(x + -5) (4 * glo + x * glo) + -1logx = log(x + -5) (4glo + glox) + -1logx = log(x + -5) Combine like terms: glox + -1glox = 0 4glo + 0 = log(x + -5) 4glo = log(x + -5) Reorder the terms: 4glo = glo(-5 + x) 4glo = (-5 * glo + x * glo) 4glo = (-5glo + glox) Solving 4glo = -5glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '5glo' to each side of the equation. 4glo + 5glo = -5glo + 5glo + glox Combine like terms: 4glo + 5glo = 9glo 9glo = -5glo + 5glo + glox Combine like terms: -5glo + 5glo = 0 9glo = 0 + glox 9glo = glox Add '-1glox' to each side of the equation. 9glo + -1glox = glox + -1glox Combine like terms: glox + -1glox = 0 9glo + -1glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(9 + -1x) = 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 '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Add 'x' to each side of the equation. -1x + x = -9 + x Combine like terms: -1x + x = 0 0 = -9 + x Simplifying 0 = -9 + x 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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