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Simplifying 2log * 9(x) = log * 9(8) + log * 9(x + -2) Reorder the terms for easier multiplication: 2 * 9glo * x = log * 9(8) + log * 9(x + -2) Multiply 2 * 9 18glo * x = log * 9(8) + log * 9(x + -2) Multiply glo * x 18glox = log * 9(8) + log * 9(x + -2) Reorder the terms for easier multiplication: 18glox = 9 * 8glo + log * 9(x + -2) Multiply 9 * 8 18glox = 72glo + log * 9(x + -2) Reorder the terms: 18glox = 72glo + glo * 9(-2 + x) Reorder the terms for easier multiplication: 18glox = 72glo + 9glo(-2 + x) 18glox = 72glo + (-2 * 9glo + x * 9glo) 18glox = 72glo + (-18glo + 9glox) Combine like terms: 72glo + -18glo = 54glo 18glox = 54glo + 9glox Solving 18glox = 54glo + 9glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-54glo' to each side of the equation. -54glo + 18glox = 54glo + -54glo + 9glox Combine like terms: 54glo + -54glo = 0 -54glo + 18glox = 0 + 9glox -54glo + 18glox = 9glox Add '-9glox' to each side of the equation. -54glo + 18glox + -9glox = 9glox + -9glox Combine like terms: 18glox + -9glox = 9glox -54glo + 9glox = 9glox + -9glox Combine like terms: 9glox + -9glox = 0 -54glo + 9glox = 0 Factor out the Greatest Common Factor (GCF), '9glo'. 9glo(-6 + x) = 0 Ignore the factor 9.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 '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Add '-1x' to each side of the equation. x + -1x = 6 + -1x Combine like terms: x + -1x = 0 0 = 6 + -1x Simplifying 0 = 6 + -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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