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Simplifying 8log(2x + 4) = 16 Reorder the terms: 8glo(4 + 2x) = 16 (4 * 8glo + 2x * 8glo) = 16 (32glo + 16glox) = 16 Solving 32glo + 16glox = 16 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -16 + 32glo + 16glox = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + 32glo + 16glox = 0 Factor out the Greatest Common Factor (GCF), '16'. 16(-1 + 2glo + glox) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(-1 + 2glo + glox)' equal to zero and attempt to solve: Simplifying -1 + 2glo + glox = 0 Solving -1 + 2glo + glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2glo + 1 + glox = 0 + 1 Reorder the terms: -1 + 1 + 2glo + glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2glo + glox = 0 + 1 2glo + glox = 0 + 1 Combine like terms: 0 + 1 = 1 2glo + glox = 1 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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