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Simplifying 2logx = Log(4x + 5) Reorder the terms: 2glox = goL(5 + 4x) 2glox = (5 * goL + 4x * goL) 2glox = (5goL + 4goxL) Solving 2glox = 5goL + 4goxL Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5goL' to each side of the equation. 2glox + -5goL = 5goL + -5goL + 4goxL Combine like terms: 5goL + -5goL = 0 2glox + -5goL = 0 + 4goxL 2glox + -5goL = 4goxL Add '-4goxL' to each side of the equation. 2glox + -5goL + -4goxL = 4goxL + -4goxL Combine like terms: 4goxL + -4goxL = 0 2glox + -5goL + -4goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(2lx + -5L + -4xL) = 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 + -5L + -4xL)' equal to zero and attempt to solve: Simplifying 2lx + -5L + -4xL = 0 Reorder the terms: -5L + 2lx + -4xL = 0 Solving -5L + 2lx + -4xL = 0 Move all terms containing g to the left, all other terms to the right. Add '5L' to each side of the equation. -5L + 2lx + 5L + -4xL = 0 + 5L Reorder the terms: -5L + 5L + 2lx + -4xL = 0 + 5L Combine like terms: -5L + 5L = 0 0 + 2lx + -4xL = 0 + 5L 2lx + -4xL = 0 + 5L Remove the zero: 2lx + -4xL = 5L Add '-2lx' to each side of the equation. 2lx + -2lx + -4xL = 5L + -2lx Combine like terms: 2lx + -2lx = 0 0 + -4xL = 5L + -2lx -4xL = 5L + -2lx Add '4xL' to each side of the equation. -4xL + 4xL = 5L + -2lx + 4xL Combine like terms: -4xL + 4xL = 0 0 = 5L + -2lx + 4xL Simplifying 0 = 5L + -2lx + 4xL 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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