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Simplifying Log(3) * 5 + -1log(3) * x = log(3) * 2 Reorder the terms for easier multiplication: 3 * 5goL + -1log(3) * x = log(3) * 2 Multiply 3 * 5 15goL + -1log(3) * x = log(3) * 2 Reorder the terms for easier multiplication: 15goL + -1 * 3glo * x = log(3) * 2 Multiply -1 * 3 15goL + -3glo * x = log(3) * 2 Multiply glo * x 15goL + -3glox = log(3) * 2 Reorder the terms: -3glox + 15goL = log(3) * 2 Reorder the terms for easier multiplication: -3glox + 15goL = 3 * 2glo Multiply 3 * 2 -3glox + 15goL = 6glo Solving -3glox + 15goL = 6glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6glo' to each side of the equation. -3glox + -6glo + 15goL = 6glo + -6glo Reorder the terms: -6glo + -3glox + 15goL = 6glo + -6glo Combine like terms: 6glo + -6glo = 0 -6glo + -3glox + 15goL = 0 Factor out the Greatest Common Factor (GCF), '3go'. 3go(-2l + -1lx + 5L) = 0 Ignore the factor 3.Subproblem 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 '(-2l + -1lx + 5L)' equal to zero and attempt to solve: Simplifying -2l + -1lx + 5L = 0 Reorder the terms: 5L + -2l + -1lx = 0 Solving 5L + -2l + -1lx = 0 Move all terms containing g to the left, all other terms to the right. Add '-5L' to each side of the equation. 5L + -2l + -5L + -1lx = 0 + -5L Reorder the terms: 5L + -5L + -2l + -1lx = 0 + -5L Combine like terms: 5L + -5L = 0 0 + -2l + -1lx = 0 + -5L -2l + -1lx = 0 + -5L Remove the zero: -2l + -1lx = -5L Add '2l' to each side of the equation. -2l + 2l + -1lx = -5L + 2l Combine like terms: -2l + 2l = 0 0 + -1lx = -5L + 2l -1lx = -5L + 2l Add 'lx' to each side of the equation. -1lx + lx = -5L + 2l + lx Combine like terms: -1lx + lx = 0 0 = -5L + 2l + lx Simplifying 0 = -5L + 2l + lx 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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