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Simplifying log(5 + -4x) + -1log(x + 30) = 0 (5 * glo + -4x * glo) + -1log(x + 30) = 0 (5glo + -4glox) + -1log(x + 30) = 0 Reorder the terms: 5glo + -4glox + -1glo(30 + x) = 0 5glo + -4glox + (30 * -1glo + x * -1glo) = 0 5glo + -4glox + (-30glo + -1glox) = 0 Reorder the terms: 5glo + -30glo + -4glox + -1glox = 0 Combine like terms: 5glo + -30glo = -25glo -25glo + -4glox + -1glox = 0 Combine like terms: -4glox + -1glox = -5glox -25glo + -5glox = 0 Solving -25glo + -5glox = 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), '-5glo'. -5glo(5 + x) = 0 Ignore the factor -5.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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