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Simplifying log(9) * x = log(9) * 5 + log(9) * 6 + -1log(9) * 3 Reorder the terms for easier multiplication: 9glo * x = log(9) * 5 + log(9) * 6 + -1log(9) * 3 Multiply glo * x 9glox = log(9) * 5 + log(9) * 6 + -1log(9) * 3 Reorder the terms for easier multiplication: 9glox = 9 * 5glo + log(9) * 6 + -1log(9) * 3 Multiply 9 * 5 9glox = 45glo + log(9) * 6 + -1log(9) * 3 Reorder the terms for easier multiplication: 9glox = 45glo + 9 * 6glo + -1log(9) * 3 Multiply 9 * 6 9glox = 45glo + 54glo + -1log(9) * 3 Reorder the terms for easier multiplication: 9glox = 45glo + 54glo + -1 * 9 * 3glo Multiply -1 * 9 9glox = 45glo + 54glo + -9 * 3glo Multiply -9 * 3 9glox = 45glo + 54glo + -27glo Combine like terms: 45glo + 54glo = 99glo 9glox = 99glo + -27glo Combine like terms: 99glo + -27glo = 72glo 9glox = 72glo Solving 9glox = 72glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-72glo' to each side of the equation. -72glo + 9glox = 72glo + -72glo Combine like terms: 72glo + -72glo = 0 -72glo + 9glox = 0 Factor out the Greatest Common Factor (GCF), '9glo'. 9glo(-8 + 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 '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Add '-1x' to each side of the equation. x + -1x = 8 + -1x Combine like terms: x + -1x = 0 0 = 8 + -1x Simplifying 0 = 8 + -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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