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Simplifying Log(6x + -9) = 2logx Reorder the terms: goL(-9 + 6x) = 2logx (-9 * goL + 6x * goL) = 2logx (-9goL + 6goxL) = 2logx Solving -9goL + 6goxL = 2glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2glox' to each side of the equation. -9goL + -2glox + 6goxL = 2glox + -2glox Reorder the terms: -2glox + -9goL + 6goxL = 2glox + -2glox Combine like terms: 2glox + -2glox = 0 -2glox + -9goL + 6goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-2lx + -9L + 6xL) = 0Subproblem 1
Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(-2lx + -9L + 6xL)' equal to zero and attempt to solve: Simplifying -2lx + -9L + 6xL = 0 Reorder the terms: -9L + -2lx + 6xL = 0 Solving -9L + -2lx + 6xL = 0 Move all terms containing g to the left, all other terms to the right. Add '9L' to each side of the equation. -9L + -2lx + 9L + 6xL = 0 + 9L Reorder the terms: -9L + 9L + -2lx + 6xL = 0 + 9L Combine like terms: -9L + 9L = 0 0 + -2lx + 6xL = 0 + 9L -2lx + 6xL = 0 + 9L Remove the zero: -2lx + 6xL = 9L Add '2lx' to each side of the equation. -2lx + 2lx + 6xL = 9L + 2lx Combine like terms: -2lx + 2lx = 0 0 + 6xL = 9L + 2lx 6xL = 9L + 2lx Add '-6xL' to each side of the equation. 6xL + -6xL = 9L + 2lx + -6xL Combine like terms: 6xL + -6xL = 0 0 = 9L + 2lx + -6xL Simplifying 0 = 9L + 2lx + -6xL 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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