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Simplifying Log[9] * x + log[9](x + 7) = log[9](x + 27) Reorder the terms for easier multiplication: 9goL * x + log[9](x + 7) = log[9](x + 27) Multiply goL * x 9goxL + log[9](x + 7) = log[9](x + 27) Reorder the terms: 9goxL + glo * 9(7 + x) = log[9](x + 27) Reorder the terms for easier multiplication: 9goxL + 9glo(7 + x) = log[9](x + 27) 9goxL + (7 * 9glo + x * 9glo) = log[9](x + 27) 9goxL + (63glo + 9glox) = log[9](x + 27) Reorder the terms: 63glo + 9glox + 9goxL = log[9](x + 27) Reorder the terms: 63glo + 9glox + 9goxL = glo * 9(27 + x) Reorder the terms for easier multiplication: 63glo + 9glox + 9goxL = 9glo(27 + x) 63glo + 9glox + 9goxL = (27 * 9glo + x * 9glo) 63glo + 9glox + 9goxL = (243glo + 9glox) Add '-9glox' to each side of the equation. 63glo + 9glox + -9glox + 9goxL = 243glo + 9glox + -9glox Combine like terms: 9glox + -9glox = 0 63glo + 0 + 9goxL = 243glo + 9glox + -9glox 63glo + 9goxL = 243glo + 9glox + -9glox Combine like terms: 9glox + -9glox = 0 63glo + 9goxL = 243glo + 0 63glo + 9goxL = 243glo Solving 63glo + 9goxL = 243glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-243glo' to each side of the equation. 63glo + -243glo + 9goxL = 243glo + -243glo Combine like terms: 63glo + -243glo = -180glo -180glo + 9goxL = 243glo + -243glo Combine like terms: 243glo + -243glo = 0 -180glo + 9goxL = 0 Factor out the Greatest Common Factor (GCF), '9go'. 9go(-20l + xL) = 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 '(-20l + xL)' equal to zero and attempt to solve: Simplifying -20l + xL = 0 Solving -20l + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '20l' to each side of the equation. -20l + 20l + xL = 0 + 20l Combine like terms: -20l + 20l = 0 0 + xL = 0 + 20l xL = 0 + 20l Remove the zero: xL = 20l Add '-1xL' to each side of the equation. xL + -1xL = 20l + -1xL Combine like terms: xL + -1xL = 0 0 = 20l + -1xL Simplifying 0 = 20l + -1xL 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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