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Simplifying log[9](7) + -1log[9](10) = log[9] * x Reorder the terms for easier multiplication: 9 * 7glo + -1log[9](10) = log[9] * x Multiply 9 * 7 63glo + -1log[9](10) = log[9] * x Reorder the terms for easier multiplication: 63glo + -1 * 9 * 10glo = log[9] * x Multiply -1 * 9 63glo + -9 * 10glo = log[9] * x Multiply -9 * 10 63glo + -90glo = log[9] * x Combine like terms: 63glo + -90glo = -27glo -27glo = log[9] * x Reorder the terms for easier multiplication: -27glo = 9glo * x Multiply glo * x -27glo = 9glox Solving -27glo = 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. -27glo + -9glox = 9glox + -9glox Combine like terms: 9glox + -9glox = 0 -27glo + -9glox = 0 Factor out the Greatest Common Factor (GCF), '-9glo'. -9glo(3 + 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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Add '-1x' to each side of the equation. x + -1x = -3 + -1x Combine like terms: x + -1x = 0 0 = -3 + -1x Simplifying 0 = -3 + -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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