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