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Simplifying log(9) * 3 + -1log(9)(-2x + -6) = log(9) * 69 Reorder the terms for easier multiplication: 9 * 3glo + -1log(9)(-2x + -6) = log(9) * 69 Multiply 9 * 3 27glo + -1log(9)(-2x + -6) = log(9) * 69 Reorder the terms: 27glo + -1glo * 9(-6 + -2x) = log(9) * 69 Reorder the terms for easier multiplication: 27glo + -1 * 9glo(-6 + -2x) = log(9) * 69 Multiply -1 * 9 27glo + -9glo(-6 + -2x) = log(9) * 69 27glo + (-6 * -9glo + -2x * -9glo) = log(9) * 69 27glo + (54glo + 18glox) = log(9) * 69 Combine like terms: 27glo + 54glo = 81glo 81glo + 18glox = log(9) * 69 Reorder the terms for easier multiplication: 81glo + 18glox = 9 * 69glo Multiply 9 * 69 81glo + 18glox = 621glo Solving 81glo + 18glox = 621glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-621glo' to each side of the equation. 81glo + -621glo + 18glox = 621glo + -621glo Combine like terms: 81glo + -621glo = -540glo -540glo + 18glox = 621glo + -621glo Combine like terms: 621glo + -621glo = 0 -540glo + 18glox = 0 Factor out the Greatest Common Factor (GCF), '18glo'. 18glo(-30 + x) = 0 Ignore the factor 18.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 '(-30 + x)' equal to zero and attempt to solve: Simplifying -30 + x = 0 Solving -30 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + x = 0 + 30 x = 0 + 30 Combine like terms: 0 + 30 = 30 x = 30 Add '-1x' to each side of the equation. x + -1x = 30 + -1x Combine like terms: x + -1x = 0 0 = 30 + -1x Simplifying 0 = 30 + -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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