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Simplifying 4log(x + 1) + -3 = 11 Reorder the terms: 4glo(1 + x) + -3 = 11 (1 * 4glo + x * 4glo) + -3 = 11 (4glo + 4glox) + -3 = 11 Reorder the terms: -3 + 4glo + 4glox = 11 Solving -3 + 4glo + 4glox = 11 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 4glo + 3 + 4glox = 11 + 3 Reorder the terms: -3 + 3 + 4glo + 4glox = 11 + 3 Combine like terms: -3 + 3 = 0 0 + 4glo + 4glox = 11 + 3 4glo + 4glox = 11 + 3 Combine like terms: 11 + 3 = 14 4glo + 4glox = 14 Reorder the terms: -14 + 4glo + 4glox = 14 + -14 Combine like terms: 14 + -14 = 0 -14 + 4glo + 4glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-7 + 2glo + 2glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + 2glo + 2glox)' equal to zero and attempt to solve: Simplifying -7 + 2glo + 2glox = 0 Solving -7 + 2glo + 2glox = 0 Move all terms containing g to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 2glo + 7 + 2glox = 0 + 7 Reorder the terms: -7 + 7 + 2glo + 2glox = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2glo + 2glox = 0 + 7 2glo + 2glox = 0 + 7 Combine like terms: 0 + 7 = 7 2glo + 2glox = 7 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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