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Simplifying Log(5x) + log(6x) = log(120) Remove parenthesis around (5x) goL * 5x + log(6x) = log(120) Reorder the terms for easier multiplication: 5goL * x + log(6x) = log(120) Multiply goL * x 5goxL + log(6x) = log(120) Remove parenthesis around (6x) 5goxL + glo * 6x = log(120) Reorder the terms for easier multiplication: 5goxL + 6glo * x = log(120) Multiply glo * x 5goxL + 6glox = log(120) Reorder the terms: 6glox + 5goxL = log(120) Reorder the terms for easier multiplication: 6glox + 5goxL = 120glo Solving 6glox + 5goxL = 120glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-120glo' to each side of the equation. 6glox + -120glo + 5goxL = 120glo + -120glo Reorder the terms: -120glo + 6glox + 5goxL = 120glo + -120glo Combine like terms: 120glo + -120glo = 0 -120glo + 6glox + 5goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-120l + 6lx + 5xL) = 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 '(-120l + 6lx + 5xL)' equal to zero and attempt to solve: Simplifying -120l + 6lx + 5xL = 0 Solving -120l + 6lx + 5xL = 0 Move all terms containing g to the left, all other terms to the right. Add '120l' to each side of the equation. -120l + 6lx + 120l + 5xL = 0 + 120l Reorder the terms: -120l + 120l + 6lx + 5xL = 0 + 120l Combine like terms: -120l + 120l = 0 0 + 6lx + 5xL = 0 + 120l 6lx + 5xL = 0 + 120l Remove the zero: 6lx + 5xL = 120l Add '-6lx' to each side of the equation. 6lx + -6lx + 5xL = 120l + -6lx Combine like terms: 6lx + -6lx = 0 0 + 5xL = 120l + -6lx 5xL = 120l + -6lx Add '-5xL' to each side of the equation. 5xL + -5xL = 120l + -6lx + -5xL Combine like terms: 5xL + -5xL = 0 0 = 120l + -6lx + -5xL Simplifying 0 = 120l + -6lx + -5xL 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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