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Simplifying 2Log[9](x) = Log[9](x + 4) + Log[9](2) Reorder the terms for easier multiplication: 2 * 9goL * x = Log[9](x + 4) + Log[9](2) Multiply 2 * 9 18goL * x = Log[9](x + 4) + Log[9](2) Multiply goL * x 18goxL = Log[9](x + 4) + Log[9](2) Reorder the terms: 18goxL = goL * 9(4 + x) + Log[9](2) Reorder the terms for easier multiplication: 18goxL = 9goL(4 + x) + Log[9](2) 18goxL = (4 * 9goL + x * 9goL) + Log[9](2) 18goxL = (36goL + 9goxL) + Log[9](2) Reorder the terms for easier multiplication: 18goxL = 36goL + 9goxL + 9 * 2goL Multiply 9 * 2 18goxL = 36goL + 9goxL + 18goL Reorder the terms: 18goxL = 36goL + 18goL + 9goxL Combine like terms: 36goL + 18goL = 54goL 18goxL = 54goL + 9goxL Solving 18goxL = 54goL + 9goxL Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-54goL' to each side of the equation. -54goL + 18goxL = 54goL + -54goL + 9goxL Combine like terms: 54goL + -54goL = 0 -54goL + 18goxL = 0 + 9goxL -54goL + 18goxL = 9goxL Add '-9goxL' to each side of the equation. -54goL + 18goxL + -9goxL = 9goxL + -9goxL Combine like terms: 18goxL + -9goxL = 9goxL -54goL + 9goxL = 9goxL + -9goxL Combine like terms: 9goxL + -9goxL = 0 -54goL + 9goxL = 0 Factor out the Greatest Common Factor (GCF), '9goL'. 9goL(-6 + x) = 0 Ignore the factor 9.Subproblem 1
Set the factor 'goL' equal to zero and attempt to solve: Simplifying goL = 0 Solving goL = 0 Move all terms containing g to the left, all other terms to the right. Simplifying goL = 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 '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Add '-1x' to each side of the equation. x + -1x = 6 + -1x Combine like terms: x + -1x = 0 0 = 6 + -1x Simplifying 0 = 6 + -1x 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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