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Simplifying 3log(22x + 13) = 12 Reorder the terms: 3glo(13 + 22x) = 12 (13 * 3glo + 22x * 3glo) = 12 (39glo + 66glox) = 12 Solving 39glo + 66glox = 12 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -12 + 39glo + 66glox = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + 39glo + 66glox = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-4 + 13glo + 22glox) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4 + 13glo + 22glox)' equal to zero and attempt to solve: Simplifying -4 + 13glo + 22glox = 0 Solving -4 + 13glo + 22glox = 0 Move all terms containing g to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 13glo + 4 + 22glox = 0 + 4 Reorder the terms: -4 + 4 + 13glo + 22glox = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 13glo + 22glox = 0 + 4 13glo + 22glox = 0 + 4 Combine like terms: 0 + 4 = 4 13glo + 22glox = 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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