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Simplifying Log[9](-11x + 2) = log[9](x2 + 30) Reorder the terms: goL * 9(2 + -11x) = log[9](x2 + 30) Reorder the terms for easier multiplication: 9goL(2 + -11x) = log[9](x2 + 30) (2 * 9goL + -11x * 9goL) = log[9](x2 + 30) (18goL + -99goxL) = log[9](x2 + 30) Reorder the terms: 18goL + -99goxL = glo * 9(30 + x2) Reorder the terms for easier multiplication: 18goL + -99goxL = 9glo(30 + x2) 18goL + -99goxL = (30 * 9glo + x2 * 9glo) 18goL + -99goxL = (270glo + 9glox2) Solving 18goL + -99goxL = 270glo + 9glox2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-270glo' to each side of the equation. 18goL + -270glo + -99goxL = 270glo + -270glo + 9glox2 Reorder the terms: -270glo + 18goL + -99goxL = 270glo + -270glo + 9glox2 Combine like terms: 270glo + -270glo = 0 -270glo + 18goL + -99goxL = 0 + 9glox2 -270glo + 18goL + -99goxL = 9glox2 Add '-9glox2' to each side of the equation. -270glo + 18goL + -9glox2 + -99goxL = 9glox2 + -9glox2 Reorder the terms: -270glo + -9glox2 + 18goL + -99goxL = 9glox2 + -9glox2 Combine like terms: 9glox2 + -9glox2 = 0 -270glo + -9glox2 + 18goL + -99goxL = 0 Factor out the Greatest Common Factor (GCF), '9go'. 9go(-30l + -1lx2 + 2L + -11xL) = 0 Ignore the factor 9.Subproblem 1
Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(-30l + -1lx2 + 2L + -11xL)' equal to zero and attempt to solve: Simplifying -30l + -1lx2 + 2L + -11xL = 0 Reorder the terms: 2L + -30l + -1lx2 + -11xL = 0 Solving 2L + -30l + -1lx2 + -11xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-2L' to each side of the equation. 2L + -30l + -1lx2 + -2L + -11xL = 0 + -2L Reorder the terms: 2L + -2L + -30l + -1lx2 + -11xL = 0 + -2L Combine like terms: 2L + -2L = 0 0 + -30l + -1lx2 + -11xL = 0 + -2L -30l + -1lx2 + -11xL = 0 + -2L Remove the zero: -30l + -1lx2 + -11xL = -2L Add '30l' to each side of the equation. -30l + -1lx2 + 30l + -11xL = -2L + 30l Reorder the terms: -30l + 30l + -1lx2 + -11xL = -2L + 30l Combine like terms: -30l + 30l = 0 0 + -1lx2 + -11xL = -2L + 30l -1lx2 + -11xL = -2L + 30l Add 'lx2' to each side of the equation. -1lx2 + lx2 + -11xL = -2L + 30l + lx2 Combine like terms: -1lx2 + lx2 = 0 0 + -11xL = -2L + 30l + lx2 -11xL = -2L + 30l + lx2 Add '11xL' to each side of the equation. -11xL + 11xL = -2L + 30l + lx2 + 11xL Combine like terms: -11xL + 11xL = 0 0 = -2L + 30l + lx2 + 11xL Simplifying 0 = -2L + 30l + lx2 + 11xL 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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