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Simplifying log(2x + -3) + -2log(4x + -3) + log(x + 5) = 0 Reorder the terms: glo(-3 + 2x) + -2log(4x + -3) + log(x + 5) = 0 (-3 * glo + 2x * glo) + -2log(4x + -3) + log(x + 5) = 0 (-3glo + 2glox) + -2log(4x + -3) + log(x + 5) = 0 Reorder the terms: -3glo + 2glox + -2glo(-3 + 4x) + log(x + 5) = 0 -3glo + 2glox + (-3 * -2glo + 4x * -2glo) + log(x + 5) = 0 -3glo + 2glox + (6glo + -8glox) + log(x + 5) = 0 Reorder the terms: -3glo + 2glox + 6glo + -8glox + glo(5 + x) = 0 -3glo + 2glox + 6glo + -8glox + (5 * glo + x * glo) = 0 -3glo + 2glox + 6glo + -8glox + (5glo + glox) = 0 Reorder the terms: -3glo + 6glo + 5glo + 2glox + -8glox + glox = 0 Combine like terms: -3glo + 6glo = 3glo 3glo + 5glo + 2glox + -8glox + glox = 0 Combine like terms: 3glo + 5glo = 8glo 8glo + 2glox + -8glox + glox = 0 Combine like terms: 2glox + -8glox = -6glox 8glo + -6glox + glox = 0 Combine like terms: -6glox + glox = -5glox 8glo + -5glox = 0 Solving 8glo + -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), 'glo'. glo(8 + -5x) = 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 + -5x)' equal to zero and attempt to solve: Simplifying 8 + -5x = 0 Solving 8 + -5x = 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 + -5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 0 + -8 -5x = 0 + -8 Combine like terms: 0 + -8 = -8 -5x = -8 Add '5x' to each side of the equation. -5x + 5x = -8 + 5x Combine like terms: -5x + 5x = 0 0 = -8 + 5x Simplifying 0 = -8 + 5x 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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