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Simplifying log[9](x + 30) + -1log[9](x + 2) = log[9] * x Reorder the terms: glo * 9(30 + x) + -1log[9](x + 2) = log[9] * x Reorder the terms for easier multiplication: 9glo(30 + x) + -1log[9](x + 2) = log[9] * x (30 * 9glo + x * 9glo) + -1log[9](x + 2) = log[9] * x (270glo + 9glox) + -1log[9](x + 2) = log[9] * x Reorder the terms: 270glo + 9glox + -1glo * 9(2 + x) = log[9] * x Reorder the terms for easier multiplication: 270glo + 9glox + -1 * 9glo(2 + x) = log[9] * x Multiply -1 * 9 270glo + 9glox + -9glo(2 + x) = log[9] * x 270glo + 9glox + (2 * -9glo + x * -9glo) = log[9] * x 270glo + 9glox + (-18glo + -9glox) = log[9] * x Reorder the terms: 270glo + -18glo + 9glox + -9glox = log[9] * x Combine like terms: 270glo + -18glo = 252glo 252glo + 9glox + -9glox = log[9] * x Combine like terms: 9glox + -9glox = 0 252glo + 0 = log[9] * x 252glo = log[9] * x Reorder the terms for easier multiplication: 252glo = 9glo * x Multiply glo * x 252glo = 9glox Solving 252glo = 9glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-9glox' to each side of the equation. 252glo + -9glox = 9glox + -9glox Combine like terms: 9glox + -9glox = 0 252glo + -9glox = 0 Factor out the Greatest Common Factor (GCF), '9glo'. 9glo(28 + -1x) = 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 '(28 + -1x)' equal to zero and attempt to solve: Simplifying 28 + -1x = 0 Solving 28 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1x = 0 + -28 -1x = 0 + -28 Combine like terms: 0 + -28 = -28 -1x = -28 Add 'x' to each side of the equation. -1x + x = -28 + x Combine like terms: -1x + x = 0 0 = -28 + x Simplifying 0 = -28 + x 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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