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Simplifying log(9)(10) + log(9)(7) = log(9) * x Reorder the terms for easier multiplication: 9 * 10glo + log(9)(7) = log(9) * x Multiply 9 * 10 90glo + log(9)(7) = log(9) * x Reorder the terms for easier multiplication: 90glo + 9 * 7glo = log(9) * x Multiply 9 * 7 90glo + 63glo = log(9) * x Combine like terms: 90glo + 63glo = 153glo 153glo = log(9) * x Reorder the terms for easier multiplication: 153glo = 9glo * x Multiply glo * x 153glo = 9glox Solving 153glo = 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. 153glo + -9glox = 9glox + -9glox Combine like terms: 9glox + -9glox = 0 153glo + -9glox = 0 Factor out the Greatest Common Factor (GCF), '9glo'. 9glo(17 + -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 '(17 + -1x)' equal to zero and attempt to solve: Simplifying 17 + -1x = 0 Solving 17 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 0 + -17 -1x = 0 + -17 Combine like terms: 0 + -17 = -17 -1x = -17 Add 'x' to each side of the equation. -1x + x = -17 + x Combine like terms: -1x + x = 0 0 = -17 + x Simplifying 0 = -17 + 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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