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Simplifying log(3) * x = 2(log(3) * 8 + -1log(3) * 2 + log(3) * 4) Reorder the terms for easier multiplication: 3glo * x = 2(log(3) * 8 + -1log(3) * 2 + log(3) * 4) Multiply glo * x 3glox = 2(log(3) * 8 + -1log(3) * 2 + log(3) * 4) Reorder the terms for easier multiplication: 3glox = 2(3 * 8glo + -1log(3) * 2 + log(3) * 4) Multiply 3 * 8 3glox = 2(24glo + -1log(3) * 2 + log(3) * 4) Reorder the terms for easier multiplication: 3glox = 2(24glo + -1 * 3 * 2glo + log(3) * 4) Multiply -1 * 3 3glox = 2(24glo + -3 * 2glo + log(3) * 4) Multiply -3 * 2 3glox = 2(24glo + -6glo + log(3) * 4) Reorder the terms for easier multiplication: 3glox = 2(24glo + -6glo + 3 * 4glo) Multiply 3 * 4 3glox = 2(24glo + -6glo + 12glo) Combine like terms: 24glo + -6glo = 18glo 3glox = 2(18glo + 12glo) Combine like terms: 18glo + 12glo = 30glo 3glox = 2(30glo) Remove parenthesis around (30glo) 3glox = 2 * 30glo Multiply 2 * 30 3glox = 60glo Solving 3glox = 60glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-60glo' to each side of the equation. -60glo + 3glox = 60glo + -60glo Combine like terms: 60glo + -60glo = 0 -60glo + 3glox = 0 Factor out the Greatest Common Factor (GCF), '3glo'. 3glo(-20 + x) = 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 '(-20 + x)' equal to zero and attempt to solve: Simplifying -20 + x = 0 Solving -20 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + x = 0 + 20 x = 0 + 20 Combine like terms: 0 + 20 = 20 x = 20 Add '-1x' to each side of the equation. x + -1x = 20 + -1x Combine like terms: x + -1x = 0 0 = 20 + -1x Simplifying 0 = 20 + -1x 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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