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