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Simplifying Log(x + 2) + Log(x + -5) = log(70) Reorder the terms: goL(2 + x) + Log(x + -5) = log(70) (2 * goL + x * goL) + Log(x + -5) = log(70) (2goL + goxL) + Log(x + -5) = log(70) Reorder the terms: 2goL + goxL + goL(-5 + x) = log(70) 2goL + goxL + (-5 * goL + x * goL) = log(70) 2goL + goxL + (-5goL + goxL) = log(70) Reorder the terms: 2goL + -5goL + goxL + goxL = log(70) Combine like terms: 2goL + -5goL = -3goL -3goL + goxL + goxL = log(70) Combine like terms: goxL + goxL = 2goxL -3goL + 2goxL = log(70) Reorder the terms for easier multiplication: -3goL + 2goxL = 70glo Solving -3goL + 2goxL = 70glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-70glo' to each side of the equation. -3goL + -70glo + 2goxL = 70glo + -70glo Reorder the terms: -70glo + -3goL + 2goxL = 70glo + -70glo Combine like terms: 70glo + -70glo = 0 -70glo + -3goL + 2goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-70l + -3L + 2xL) = 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 '(-70l + -3L + 2xL)' equal to zero and attempt to solve: Simplifying -70l + -3L + 2xL = 0 Reorder the terms: -3L + -70l + 2xL = 0 Solving -3L + -70l + 2xL = 0 Move all terms containing g to the left, all other terms to the right. Add '3L' to each side of the equation. -3L + -70l + 3L + 2xL = 0 + 3L Reorder the terms: -3L + 3L + -70l + 2xL = 0 + 3L Combine like terms: -3L + 3L = 0 0 + -70l + 2xL = 0 + 3L -70l + 2xL = 0 + 3L Remove the zero: -70l + 2xL = 3L Add '70l' to each side of the equation. -70l + 70l + 2xL = 3L + 70l Combine like terms: -70l + 70l = 0 0 + 2xL = 3L + 70l 2xL = 3L + 70l Add '-2xL' to each side of the equation. 2xL + -2xL = 3L + 70l + -2xL Combine like terms: 2xL + -2xL = 0 0 = 3L + 70l + -2xL Simplifying 0 = 3L + 70l + -2xL 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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