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Simplifying 3log(2x + 1) + -4 = 8 Reorder the terms: 3glo(1 + 2x) + -4 = 8 (1 * 3glo + 2x * 3glo) + -4 = 8 (3glo + 6glox) + -4 = 8 Reorder the terms: -4 + 3glo + 6glox = 8 Solving -4 + 3glo + 6glox = 8 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 3glo + 4 + 6glox = 8 + 4 Reorder the terms: -4 + 4 + 3glo + 6glox = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 3glo + 6glox = 8 + 4 3glo + 6glox = 8 + 4 Combine like terms: 8 + 4 = 12 3glo + 6glox = 12 Reorder the terms: -12 + 3glo + 6glox = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + 3glo + 6glox = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-4 + glo + 2glox) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4 + glo + 2glox)' equal to zero and attempt to solve: Simplifying -4 + glo + 2glox = 0 Solving -4 + glo + 2glox = 0 Move all terms containing g to the left, all other terms to the right. Add '4' to each side of the equation. -4 + glo + 4 + 2glox = 0 + 4 Reorder the terms: -4 + 4 + glo + 2glox = 0 + 4 Combine like terms: -4 + 4 = 0 0 + glo + 2glox = 0 + 4 glo + 2glox = 0 + 4 Combine like terms: 0 + 4 = 4 glo + 2glox = 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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