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Simplifying 6log(x) + 6log(2) = 6log(72) + -6log(x) Multiply glo * x 6glox + 6log(2) = 6log(72) + -6log(x) Reorder the terms for easier multiplication: 6glox + 6 * 2glo = 6log(72) + -6log(x) Multiply 6 * 2 6glox + 12glo = 6log(72) + -6log(x) Reorder the terms: 12glo + 6glox = 6log(72) + -6log(x) Reorder the terms for easier multiplication: 12glo + 6glox = 6 * 72glo + -6log(x) Multiply 6 * 72 12glo + 6glox = 432glo + -6log(x) Multiply glo * x 12glo + 6glox = 432glo + -6glox Solving 12glo + 6glox = 432glo + -6glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-432glo' to each side of the equation. 12glo + -432glo + 6glox = 432glo + -432glo + -6glox Combine like terms: 12glo + -432glo = -420glo -420glo + 6glox = 432glo + -432glo + -6glox Combine like terms: 432glo + -432glo = 0 -420glo + 6glox = 0 + -6glox -420glo + 6glox = -6glox Add '6glox' to each side of the equation. -420glo + 6glox + 6glox = -6glox + 6glox Combine like terms: 6glox + 6glox = 12glox -420glo + 12glox = -6glox + 6glox Combine like terms: -6glox + 6glox = 0 -420glo + 12glox = 0 Factor out the Greatest Common Factor (GCF), '12glo'. 12glo(-35 + 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 '(-35 + x)' equal to zero and attempt to solve: Simplifying -35 + x = 0 Solving -35 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + x = 0 + 35 x = 0 + 35 Combine like terms: 0 + 35 = 35 x = 35 Add '-1x' to each side of the equation. x + -1x = 35 + -1x Combine like terms: x + -1x = 0 0 = 35 + -1x Simplifying 0 = 35 + -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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