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Simplifying 3log(4x + -3) = 4log(4x + -3) Reorder the terms: 3glo(-3 + 4x) = 4log(4x + -3) (-3 * 3glo + 4x * 3glo) = 4log(4x + -3) (-9glo + 12glox) = 4log(4x + -3) Reorder the terms: -9glo + 12glox = 4glo(-3 + 4x) -9glo + 12glox = (-3 * 4glo + 4x * 4glo) -9glo + 12glox = (-12glo + 16glox) Solving -9glo + 12glox = -12glo + 16glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '12glo' to each side of the equation. -9glo + 12glo + 12glox = -12glo + 12glo + 16glox Combine like terms: -9glo + 12glo = 3glo 3glo + 12glox = -12glo + 12glo + 16glox Combine like terms: -12glo + 12glo = 0 3glo + 12glox = 0 + 16glox 3glo + 12glox = 16glox Add '-16glox' to each side of the equation. 3glo + 12glox + -16glox = 16glox + -16glox Combine like terms: 12glox + -16glox = -4glox 3glo + -4glox = 16glox + -16glox Combine like terms: 16glox + -16glox = 0 3glo + -4glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(3 + -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 '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Add '4x' to each side of the equation. -4x + 4x = -3 + 4x Combine like terms: -4x + 4x = 0 0 = -3 + 4x Simplifying 0 = -3 + 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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