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Simplifying log(9)(2x) = log(9)(99 + -1x2) Remove parenthesis around (2x) glo * 9 * 2x = log(9)(99 + -1x2) Reorder the terms for easier multiplication: 9 * 2glo * x = log(9)(99 + -1x2) Multiply 9 * 2 18glo * x = log(9)(99 + -1x2) Multiply glo * x 18glox = log(9)(99 + -1x2) Reorder the terms for easier multiplication: 18glox = 9glo(99 + -1x2) 18glox = (99 * 9glo + -1x2 * 9glo) 18glox = (891glo + -9glox2) Solving 18glox = 891glo + -9glox2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-891glo' to each side of the equation. -891glo + 18glox = 891glo + -891glo + -9glox2 Combine like terms: 891glo + -891glo = 0 -891glo + 18glox = 0 + -9glox2 -891glo + 18glox = -9glox2 Add '9glox2' to each side of the equation. -891glo + 18glox + 9glox2 = -9glox2 + 9glox2 Combine like terms: -9glox2 + 9glox2 = 0 -891glo + 18glox + 9glox2 = 0 Factor out the Greatest Common Factor (GCF), '9glo'. 9glo(-99 + 2x + x2) = 0 Factor a trinomial. 9glo((-11 + -1x)(9 + -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 '(-11 + -1x)' equal to zero and attempt to solve: Simplifying -11 + -1x = 0 Solving -11 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Add 'x' to each side of the equation. -1x + x = 11 + x Combine like terms: -1x + x = 0 0 = 11 + x Simplifying 0 = 11 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Add 'x' to each side of the equation. -1x + x = -9 + x Combine like terms: -1x + x = 0 0 = -9 + x Simplifying 0 = -9 + 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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