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