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Simplifying log(3) * 36 + -1log(3) * x = log(3) * 12 Reorder the terms for easier multiplication: 3 * 36glo + -1log(3) * x = log(3) * 12 Multiply 3 * 36 108glo + -1log(3) * x = log(3) * 12 Reorder the terms for easier multiplication: 108glo + -1 * 3glo * x = log(3) * 12 Multiply -1 * 3 108glo + -3glo * x = log(3) * 12 Multiply glo * x 108glo + -3glox = log(3) * 12 Reorder the terms for easier multiplication: 108glo + -3glox = 3 * 12glo Multiply 3 * 12 108glo + -3glox = 36glo Solving 108glo + -3glox = 36glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-36glo' to each side of the equation. 108glo + -36glo + -3glox = 36glo + -36glo Combine like terms: 108glo + -36glo = 72glo 72glo + -3glox = 36glo + -36glo Combine like terms: 36glo + -36glo = 0 72glo + -3glox = 0 Factor out the Greatest Common Factor (GCF), '3glo'. 3glo(24 + -1x) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 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 '(24 + -1x)' equal to zero and attempt to solve: Simplifying 24 + -1x = 0 Solving 24 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 0 + -24 -1x = 0 + -24 Combine like terms: 0 + -24 = -24 -1x = -24 Add 'x' to each side of the equation. -1x + x = -24 + x Combine like terms: -1x + x = 0 0 = -24 + x Simplifying 0 = -24 + x 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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