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Simplifying Log(13x + -36) = 2logx Reorder the terms: goL(-36 + 13x) = 2logx (-36 * goL + 13x * goL) = 2logx (-36goL + 13goxL) = 2logx Solving -36goL + 13goxL = 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. -36goL + -2glox + 13goxL = 2glox + -2glox Reorder the terms: -2glox + -36goL + 13goxL = 2glox + -2glox Combine like terms: 2glox + -2glox = 0 -2glox + -36goL + 13goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-2lx + -36L + 13xL) = 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 + -36L + 13xL)' equal to zero and attempt to solve: Simplifying -2lx + -36L + 13xL = 0 Reorder the terms: -36L + -2lx + 13xL = 0 Solving -36L + -2lx + 13xL = 0 Move all terms containing g to the left, all other terms to the right. Add '36L' to each side of the equation. -36L + -2lx + 36L + 13xL = 0 + 36L Reorder the terms: -36L + 36L + -2lx + 13xL = 0 + 36L Combine like terms: -36L + 36L = 0 0 + -2lx + 13xL = 0 + 36L -2lx + 13xL = 0 + 36L Remove the zero: -2lx + 13xL = 36L Add '2lx' to each side of the equation. -2lx + 2lx + 13xL = 36L + 2lx Combine like terms: -2lx + 2lx = 0 0 + 13xL = 36L + 2lx 13xL = 36L + 2lx Add '-13xL' to each side of the equation. 13xL + -13xL = 36L + 2lx + -13xL Combine like terms: 13xL + -13xL = 0 0 = 36L + 2lx + -13xL Simplifying 0 = 36L + 2lx + -13xL 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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