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