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Simplifying log(4) * 3x + log(4) * 2 = log(4) * 24 Reorder the terms for easier multiplication: 4 * 3glo * x + log(4) * 2 = log(4) * 24 Multiply 4 * 3 12glo * x + log(4) * 2 = log(4) * 24 Multiply glo * x 12glox + log(4) * 2 = log(4) * 24 Reorder the terms for easier multiplication: 12glox + 4 * 2glo = log(4) * 24 Multiply 4 * 2 12glox + 8glo = log(4) * 24 Reorder the terms: 8glo + 12glox = log(4) * 24 Reorder the terms for easier multiplication: 8glo + 12glox = 4 * 24glo Multiply 4 * 24 8glo + 12glox = 96glo Solving 8glo + 12glox = 96glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-96glo' to each side of the equation. 8glo + -96glo + 12glox = 96glo + -96glo Combine like terms: 8glo + -96glo = -88glo -88glo + 12glox = 96glo + -96glo Combine like terms: 96glo + -96glo = 0 -88glo + 12glox = 0 Factor out the Greatest Common Factor (GCF), '4glo'. 4glo(-22 + 3x) = 0 Ignore the factor 4.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 '(-22 + 3x)' equal to zero and attempt to solve: Simplifying -22 + 3x = 0 Solving -22 + 3x = 0 Move all terms containing g to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 3x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 3x = 0 + 22 3x = 0 + 22 Combine like terms: 0 + 22 = 22 3x = 22 Add '-3x' to each side of the equation. 3x + -3x = 22 + -3x Combine like terms: 3x + -3x = 0 0 = 22 + -3x Simplifying 0 = 22 + -3x 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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