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Simplifying log[2](3x + -1) = 8 Reorder the terms: glo * 2(-1 + 3x) = 8 Reorder the terms for easier multiplication: 2glo(-1 + 3x) = 8 (-1 * 2glo + 3x * 2glo) = 8 (-2glo + 6glox) = 8 Solving -2glo + 6glox = 8 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -8 + -2glo + 6glox = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + -2glo + 6glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + -1glo + 3glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + -1glo + 3glox)' equal to zero and attempt to solve: Simplifying -4 + -1glo + 3glox = 0 Solving -4 + -1glo + 3glox = 0 Move all terms containing g to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -1glo + 4 + 3glox = 0 + 4 Reorder the terms: -4 + 4 + -1glo + 3glox = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1glo + 3glox = 0 + 4 -1glo + 3glox = 0 + 4 Combine like terms: 0 + 4 = 4 -1glo + 3glox = 4 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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