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