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Simplifying 2log(3x + 15) = 15 Reorder the terms: 2glo(15 + 3x) = 15 (15 * 2glo + 3x * 2glo) = 15 (30glo + 6glox) = 15 Solving 30glo + 6glox = 15 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -15 + 30glo + 6glox = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + 30glo + 6glox = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-5 + 10glo + 2glox) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-5 + 10glo + 2glox)' equal to zero and attempt to solve: Simplifying -5 + 10glo + 2glox = 0 Solving -5 + 10glo + 2glox = 0 Move all terms containing g to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 10glo + 5 + 2glox = 0 + 5 Reorder the terms: -5 + 5 + 10glo + 2glox = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 10glo + 2glox = 0 + 5 10glo + 2glox = 0 + 5 Combine like terms: 0 + 5 = 5 10glo + 2glox = 5 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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