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Simplifying log(9x + -2) = log(4x + -16) Reorder the terms: glo(-2 + 9x) = log(4x + -16) (-2 * glo + 9x * glo) = log(4x + -16) (-2glo + 9glox) = log(4x + -16) Reorder the terms: -2glo + 9glox = glo(-16 + 4x) -2glo + 9glox = (-16 * glo + 4x * glo) -2glo + 9glox = (-16glo + 4glox) Solving -2glo + 9glox = -16glo + 4glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '16glo' to each side of the equation. -2glo + 16glo + 9glox = -16glo + 16glo + 4glox Combine like terms: -2glo + 16glo = 14glo 14glo + 9glox = -16glo + 16glo + 4glox Combine like terms: -16glo + 16glo = 0 14glo + 9glox = 0 + 4glox 14glo + 9glox = 4glox Add '-4glox' to each side of the equation. 14glo + 9glox + -4glox = 4glox + -4glox Combine like terms: 9glox + -4glox = 5glox 14glo + 5glox = 4glox + -4glox Combine like terms: 4glox + -4glox = 0 14glo + 5glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(14 + 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 '(14 + 5x)' equal to zero and attempt to solve: Simplifying 14 + 5x = 0 Solving 14 + 5x = 0 Move all terms containing g to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 5x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 5x = 0 + -14 5x = 0 + -14 Combine like terms: 0 + -14 = -14 5x = -14 Add '-5x' to each side of the equation. 5x + -5x = -14 + -5x Combine like terms: 5x + -5x = 0 0 = -14 + -5x Simplifying 0 = -14 + -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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