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Simplifying log(x) = log(x + 4) + -1log(x + 1) Multiply glo * x glox = log(x + 4) + -1log(x + 1) Reorder the terms: glox = glo(4 + x) + -1log(x + 1) glox = (4 * glo + x * glo) + -1log(x + 1) glox = (4glo + glox) + -1log(x + 1) Reorder the terms: glox = 4glo + glox + -1glo(1 + x) glox = 4glo + glox + (1 * -1glo + x * -1glo) glox = 4glo + glox + (-1glo + -1glox) Reorder the terms: glox = 4glo + -1glo + glox + -1glox Combine like terms: 4glo + -1glo = 3glo glox = 3glo + glox + -1glox Combine like terms: glox + -1glox = 0 glox = 3glo + 0 glox = 3glo Solving glox = 3glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3glo' to each side of the equation. -3glo + glox = 3glo + -3glo Combine like terms: 3glo + -3glo = 0 -3glo + glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-3 + 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 '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Add '-1x' to each side of the equation. x + -1x = 3 + -1x Combine like terms: x + -1x = 0 0 = 3 + -1x Simplifying 0 = 3 + -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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