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Simplifying log(x + -3) + -1log(2) + log(x + 2) + -1log(7) = 0 Reorder the terms: glo(-3 + x) + -1log(2) + log(x + 2) + -1log(7) = 0 (-3 * glo + x * glo) + -1log(2) + log(x + 2) + -1log(7) = 0 (-3glo + glox) + -1log(2) + log(x + 2) + -1log(7) = 0 Reorder the terms for easier multiplication: -3glo + glox + -1 * 2glo + log(x + 2) + -1log(7) = 0 Multiply -1 * 2 -3glo + glox + -2glo + log(x + 2) + -1log(7) = 0 Reorder the terms: -3glo + glox + -2glo + glo(2 + x) + -1log(7) = 0 -3glo + glox + -2glo + (2 * glo + x * glo) + -1log(7) = 0 -3glo + glox + -2glo + (2glo + glox) + -1log(7) = 0 Reorder the terms for easier multiplication: -3glo + glox + -2glo + 2glo + glox + -1 * 7glo = 0 Multiply -1 * 7 -3glo + glox + -2glo + 2glo + glox + -7glo = 0 Reorder the terms: -3glo + -2glo + 2glo + -7glo + glox + glox = 0 Combine like terms: -3glo + -2glo = -5glo -5glo + 2glo + -7glo + glox + glox = 0 Combine like terms: -5glo + 2glo = -3glo -3glo + -7glo + glox + glox = 0 Combine like terms: -3glo + -7glo = -10glo -10glo + glox + glox = 0 Combine like terms: glox + glox = 2glox -10glo + 2glox = 0 Solving -10glo + 2glox = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2glo'. 2glo(-5 + x) = 0 Ignore the factor 2.Subproblem 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 '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Add '-1x' to each side of the equation. x + -1x = 5 + -1x Combine like terms: x + -1x = 0 0 = 5 + -1x Simplifying 0 = 5 + -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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