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Simplifying log[9](x + 6) = log[9](9 + 1) Reorder the terms: glo * 9(6 + x) = log[9](9 + 1) Reorder the terms for easier multiplication: 9glo(6 + x) = log[9](9 + 1) (6 * 9glo + x * 9glo) = log[9](9 + 1) (54glo + 9glox) = log[9](9 + 1) Combine like terms: 9 + 1 = 10 54glo + 9glox = glo * 9(10) Reorder the terms for easier multiplication: 54glo + 9glox = 9 * 10glo Multiply 9 * 10 54glo + 9glox = 90glo Solving 54glo + 9glox = 90glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-90glo' to each side of the equation. 54glo + -90glo + 9glox = 90glo + -90glo Combine like terms: 54glo + -90glo = -36glo -36glo + 9glox = 90glo + -90glo Combine like terms: 90glo + -90glo = 0 -36glo + 9glox = 0 Factor out the Greatest Common Factor (GCF), '9glo'. 9glo(-4 + 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 '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Add '-1x' to each side of the equation. x + -1x = 4 + -1x Combine like terms: x + -1x = 0 0 = 4 + -1x Simplifying 0 = 4 + -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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