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