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Simplifying 2log(6)(x) = log(6)(2) + log(6)(x + 24) Reorder the terms for easier multiplication: 2 * 6glo * x = log(6)(2) + log(6)(x + 24) Multiply 2 * 6 12glo * x = log(6)(2) + log(6)(x + 24) Multiply glo * x 12glox = log(6)(2) + log(6)(x + 24) Reorder the terms for easier multiplication: 12glox = 6 * 2glo + log(6)(x + 24) Multiply 6 * 2 12glox = 12glo + log(6)(x + 24) Reorder the terms: 12glox = 12glo + glo * 6(24 + x) Reorder the terms for easier multiplication: 12glox = 12glo + 6glo(24 + x) 12glox = 12glo + (24 * 6glo + x * 6glo) 12glox = 12glo + (144glo + 6glox) Combine like terms: 12glo + 144glo = 156glo 12glox = 156glo + 6glox Solving 12glox = 156glo + 6glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-156glo' to each side of the equation. -156glo + 12glox = 156glo + -156glo + 6glox Combine like terms: 156glo + -156glo = 0 -156glo + 12glox = 0 + 6glox -156glo + 12glox = 6glox Add '-6glox' to each side of the equation. -156glo + 12glox + -6glox = 6glox + -6glox Combine like terms: 12glox + -6glox = 6glox -156glo + 6glox = 6glox + -6glox Combine like terms: 6glox + -6glox = 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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