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Simplifying 6log(x + 1) + 2 = 11 Reorder the terms: 6glo(1 + x) + 2 = 11 (1 * 6glo + x * 6glo) + 2 = 11 (6glo + 6glox) + 2 = 11 Reorder the terms: 2 + 6glo + 6glox = 11 Solving 2 + 6glo + 6glox = 11 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 6glo + -2 + 6glox = 11 + -2 Reorder the terms: 2 + -2 + 6glo + 6glox = 11 + -2 Combine like terms: 2 + -2 = 0 0 + 6glo + 6glox = 11 + -2 6glo + 6glox = 11 + -2 Combine like terms: 11 + -2 = 9 6glo + 6glox = 9 Reorder the terms: -9 + 6glo + 6glox = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + 6glo + 6glox = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-3 + 2glo + 2glox) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-3 + 2glo + 2glox)' equal to zero and attempt to solve: Simplifying -3 + 2glo + 2glox = 0 Solving -3 + 2glo + 2glox = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 2glo + 3 + 2glox = 0 + 3 Reorder the terms: -3 + 3 + 2glo + 2glox = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2glo + 2glox = 0 + 3 2glo + 2glox = 0 + 3 Combine like terms: 0 + 3 = 3 2glo + 2glox = 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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