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Simplifying log(x + 8) + logx = log(x + 18) Reorder the terms: glo(8 + x) + logx = log(x + 18) (8 * glo + x * glo) + logx = log(x + 18) (8glo + glox) + logx = log(x + 18) Combine like terms: glox + glox = 2glox 8glo + 2glox = log(x + 18) Reorder the terms: 8glo + 2glox = glo(18 + x) 8glo + 2glox = (18 * glo + x * glo) 8glo + 2glox = (18glo + glox) Solving 8glo + 2glox = 18glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-18glo' to each side of the equation. 8glo + -18glo + 2glox = 18glo + -18glo + glox Combine like terms: 8glo + -18glo = -10glo -10glo + 2glox = 18glo + -18glo + glox Combine like terms: 18glo + -18glo = 0 -10glo + 2glox = 0 + glox -10glo + 2glox = glox Add '-1glox' to each side of the equation. -10glo + 2glox + -1glox = glox + -1glox Combine like terms: 2glox + -1glox = 1glox -10glo + 1glox = glox + -1glox Combine like terms: glox + -1glox = 0 -10glo + 1glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-10 + x) = 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 '(-10 + x)' equal to zero and attempt to solve: Simplifying -10 + x = 0 Solving -10 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + x = 0 + 10 x = 0 + 10 Combine like terms: 0 + 10 = 10 x = 10 Add '-1x' to each side of the equation. x + -1x = 10 + -1x Combine like terms: x + -1x = 0 0 = 10 + -1x Simplifying 0 = 10 + -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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