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Simplifying log(3) * 4 + log(3) * 2x = log(3) * 56 Reorder the terms for easier multiplication: 3 * 4glo + log(3) * 2x = log(3) * 56 Multiply 3 * 4 12glo + log(3) * 2x = log(3) * 56 Reorder the terms for easier multiplication: 12glo + 3 * 2glo * x = log(3) * 56 Multiply 3 * 2 12glo + 6glo * x = log(3) * 56 Multiply glo * x 12glo + 6glox = log(3) * 56 Reorder the terms for easier multiplication: 12glo + 6glox = 3 * 56glo Multiply 3 * 56 12glo + 6glox = 168glo Solving 12glo + 6glox = 168glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-168glo' to each side of the equation. 12glo + -168glo + 6glox = 168glo + -168glo Combine like terms: 12glo + -168glo = -156glo -156glo + 6glox = 168glo + -168glo Combine like terms: 168glo + -168glo = 0 -156glo + 6glox = 0 Factor out the Greatest Common Factor (GCF), '6glo'. 6glo(-26 + x) = 0 Ignore the factor 6.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 '(-26 + x)' equal to zero and attempt to solve: Simplifying -26 + x = 0 Solving -26 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + x = 0 + 26 x = 0 + 26 Combine like terms: 0 + 26 = 26 x = 26 Add '-1x' to each side of the equation. x + -1x = 26 + -1x Combine like terms: x + -1x = 0 0 = 26 + -1x Simplifying 0 = 26 + -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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