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Simplifying Log(3m + 5) = log(5m + 5) Reorder the terms: goL(5 + 3m) = log(5m + 5) (5 * goL + 3m * goL) = log(5m + 5) Reorder the terms: (3gmoL + 5goL) = log(5m + 5) (3gmoL + 5goL) = log(5m + 5) Reorder the terms: 3gmoL + 5goL = glo(5 + 5m) 3gmoL + 5goL = (5 * glo + 5m * glo) Reorder the terms: 3gmoL + 5goL = (5glmo + 5glo) 3gmoL + 5goL = (5glmo + 5glo) Solving 3gmoL + 5goL = 5glmo + 5glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5glmo' to each side of the equation. 3gmoL + -5glmo + 5goL = 5glmo + -5glmo + 5glo Reorder the terms: -5glmo + 3gmoL + 5goL = 5glmo + -5glmo + 5glo Combine like terms: 5glmo + -5glmo = 0 -5glmo + 3gmoL + 5goL = 0 + 5glo -5glmo + 3gmoL + 5goL = 5glo Add '-5glo' to each side of the equation. -5glmo + 3gmoL + -5glo + 5goL = 5glo + -5glo Reorder the terms: -5glmo + -5glo + 3gmoL + 5goL = 5glo + -5glo Combine like terms: 5glo + -5glo = 0 -5glmo + -5glo + 3gmoL + 5goL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-5lm + -5l + 3mL + 5L) = 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 '(-5lm + -5l + 3mL + 5L)' equal to zero and attempt to solve: Simplifying -5lm + -5l + 3mL + 5L = 0 Reorder the terms: 5L + -5l + -5lm + 3mL = 0 Solving 5L + -5l + -5lm + 3mL = 0 Move all terms containing g to the left, all other terms to the right. Add '-5L' to each side of the equation. 5L + -5l + -5lm + -5L + 3mL = 0 + -5L Reorder the terms: 5L + -5L + -5l + -5lm + 3mL = 0 + -5L Combine like terms: 5L + -5L = 0 0 + -5l + -5lm + 3mL = 0 + -5L -5l + -5lm + 3mL = 0 + -5L Remove the zero: -5l + -5lm + 3mL = -5L Add '5l' to each side of the equation. -5l + -5lm + 5l + 3mL = -5L + 5l Reorder the terms: -5l + 5l + -5lm + 3mL = -5L + 5l Combine like terms: -5l + 5l = 0 0 + -5lm + 3mL = -5L + 5l -5lm + 3mL = -5L + 5l Add '5lm' to each side of the equation. -5lm + 5lm + 3mL = -5L + 5l + 5lm Combine like terms: -5lm + 5lm = 0 0 + 3mL = -5L + 5l + 5lm 3mL = -5L + 5l + 5lm Add '-3mL' to each side of the equation. 3mL + -3mL = -5L + 5l + 5lm + -3mL Combine like terms: 3mL + -3mL = 0 0 = -5L + 5l + 5lm + -3mL Simplifying 0 = -5L + 5l + 5lm + -3mL 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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