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Simplifying log(6)(3x) + log(6)(4) = log(6)(24) Remove parenthesis around (3x) glo * 6 * 3x + log(6)(4) = log(6)(24) Reorder the terms for easier multiplication: 6 * 3glo * x + log(6)(4) = log(6)(24) Multiply 6 * 3 18glo * x + log(6)(4) = log(6)(24) Multiply glo * x 18glox + log(6)(4) = log(6)(24) Reorder the terms for easier multiplication: 18glox + 6 * 4glo = log(6)(24) Multiply 6 * 4 18glox + 24glo = log(6)(24) Reorder the terms: 24glo + 18glox = log(6)(24) Reorder the terms for easier multiplication: 24glo + 18glox = 6 * 24glo Multiply 6 * 24 24glo + 18glox = 144glo Solving 24glo + 18glox = 144glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-144glo' to each side of the equation. 24glo + -144glo + 18glox = 144glo + -144glo Combine like terms: 24glo + -144glo = -120glo -120glo + 18glox = 144glo + -144glo Combine like terms: 144glo + -144glo = 0 -120glo + 18glox = 0 Factor out the Greatest Common Factor (GCF), '6glo'. 6glo(-20 + 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 '(-20 + 3x)' equal to zero and attempt to solve: Simplifying -20 + 3x = 0 Solving -20 + 3x = 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 + 3x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = 0 + 20 3x = 0 + 20 Combine like terms: 0 + 20 = 20 3x = 20 Add '-3x' to each side of the equation. 3x + -3x = 20 + -3x Combine like terms: 3x + -3x = 0 0 = 20 + -3x Simplifying 0 = 20 + -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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