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Simplifying Log(6) * 3x + log(6) * x + -1 = 3 Reorder the terms for easier multiplication: 6 * 3goL * x + log(6) * x + -1 = 3 Multiply 6 * 3 18goL * x + log(6) * x + -1 = 3 Multiply goL * x 18goxL + log(6) * x + -1 = 3 Reorder the terms for easier multiplication: 18goxL + 6glo * x + -1 = 3 Multiply glo * x 18goxL + 6glox + -1 = 3 Reorder the terms: -1 + 6glox + 18goxL = 3 Solving -1 + 6glox + 18goxL = 3 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 6glox + 1 + 18goxL = 3 + 1 Reorder the terms: -1 + 1 + 6glox + 18goxL = 3 + 1 Combine like terms: -1 + 1 = 0 0 + 6glox + 18goxL = 3 + 1 6glox + 18goxL = 3 + 1 Combine like terms: 3 + 1 = 4 6glox + 18goxL = 4 Reorder the terms: -4 + 6glox + 18goxL = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 6glox + 18goxL = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + 3glox + 9goxL) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + 3glox + 9goxL)' equal to zero and attempt to solve: Simplifying -2 + 3glox + 9goxL = 0 Solving -2 + 3glox + 9goxL = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 3glox + 2 + 9goxL = 0 + 2 Reorder the terms: -2 + 2 + 3glox + 9goxL = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3glox + 9goxL = 0 + 2 3glox + 9goxL = 0 + 2 Combine like terms: 0 + 2 = 2 3glox + 9goxL = 2 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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