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Simplifying log(6)(x) + log(6)(x + 2) = log(6)(24) Reorder the terms for easier multiplication: 6glo * x + log(6)(x + 2) = log(6)(24) Multiply glo * x 6glox + log(6)(x + 2) = log(6)(24) Reorder the terms: 6glox + glo * 6(2 + x) = log(6)(24) Reorder the terms for easier multiplication: 6glox + 6glo(2 + x) = log(6)(24) 6glox + (2 * 6glo + x * 6glo) = log(6)(24) 6glox + (12glo + 6glox) = log(6)(24) Reorder the terms: 12glo + 6glox + 6glox = log(6)(24) Combine like terms: 6glox + 6glox = 12glox 12glo + 12glox = log(6)(24) Reorder the terms for easier multiplication: 12glo + 12glox = 6 * 24glo Multiply 6 * 24 12glo + 12glox = 144glo Solving 12glo + 12glox = 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. 12glo + -144glo + 12glox = 144glo + -144glo Combine like terms: 12glo + -144glo = -132glo -132glo + 12glox = 144glo + -144glo Combine like terms: 144glo + -144glo = 0 -132glo + 12glox = 0 Factor out the Greatest Common Factor (GCF), '12glo'. 12glo(-11 + x) = 0 Ignore the factor 12.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 '(-11 + x)' equal to zero and attempt to solve: Simplifying -11 + x = 0 Solving -11 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + x = 0 + 11 x = 0 + 11 Combine like terms: 0 + 11 = 11 x = 11 Add '-1x' to each side of the equation. x + -1x = 11 + -1x Combine like terms: x + -1x = 0 0 = 11 + -1x Simplifying 0 = 11 + -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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