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Simplifying Log[3](X + 3) + Log[8](x) = log[8](10) Reorder the terms: goL * 3(3 + X) + Log[8](x) = log[8](10) Reorder the terms for easier multiplication: 3goL(3 + X) + Log[8](x) = log[8](10) (3 * 3goL + X * 3goL) + Log[8](x) = log[8](10) (9goL + 3goLX) + Log[8](x) = log[8](10) Reorder the terms for easier multiplication: 9goL + 3goLX + 8goL * x = log[8](10) Multiply goL * x 9goL + 3goLX + 8goxL = log[8](10) Reorder the terms for easier multiplication: 9goL + 3goLX + 8goxL = 8 * 10glo Multiply 8 * 10 9goL + 3goLX + 8goxL = 80glo Solving 9goL + 3goLX + 8goxL = 80glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-80glo' to each side of the equation. 9goL + 3goLX + -80glo + 8goxL = 80glo + -80glo Reorder the terms: -80glo + 9goL + 3goLX + 8goxL = 80glo + -80glo Combine like terms: 80glo + -80glo = 0 -80glo + 9goL + 3goLX + 8goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-80l + 9L + 3LX + 8xL) = 0Subproblem 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 '(-80l + 9L + 3LX + 8xL)' equal to zero and attempt to solve: Simplifying -80l + 9L + 3LX + 8xL = 0 Reorder the terms: 9L + 3LX + -80l + 8xL = 0 Solving 9L + 3LX + -80l + 8xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-9L' to each side of the equation. 9L + 3LX + -80l + -9L + 8xL = 0 + -9L Reorder the terms: 9L + -9L + 3LX + -80l + 8xL = 0 + -9L Combine like terms: 9L + -9L = 0 0 + 3LX + -80l + 8xL = 0 + -9L 3LX + -80l + 8xL = 0 + -9L Remove the zero: 3LX + -80l + 8xL = -9L Add '-3LX' to each side of the equation. 3LX + -80l + -3LX + 8xL = -9L + -3LX Reorder the terms: 3LX + -3LX + -80l + 8xL = -9L + -3LX Combine like terms: 3LX + -3LX = 0 0 + -80l + 8xL = -9L + -3LX -80l + 8xL = -9L + -3LX Add '80l' to each side of the equation. -80l + 80l + 8xL = -9L + -3LX + 80l Combine like terms: -80l + 80l = 0 0 + 8xL = -9L + -3LX + 80l 8xL = -9L + -3LX + 80l Add '-8xL' to each side of the equation. 8xL + -8xL = -9L + -3LX + 80l + -8xL Combine like terms: 8xL + -8xL = 0 0 = -9L + -3LX + 80l + -8xL Simplifying 0 = -9L + -3LX + 80l + -8xL 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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