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Simplifying 3log(2x + -5) = 9 Reorder the terms: 3glo(-5 + 2x) = 9 (-5 * 3glo + 2x * 3glo) = 9 (-15glo + 6glox) = 9 Solving -15glo + 6glox = 9 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -9 + -15glo + 6glox = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + -15glo + 6glox = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-3 + -5glo + 2glox) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-3 + -5glo + 2glox)' equal to zero and attempt to solve: Simplifying -3 + -5glo + 2glox = 0 Solving -3 + -5glo + 2glox = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -5glo + 3 + 2glox = 0 + 3 Reorder the terms: -3 + 3 + -5glo + 2glox = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5glo + 2glox = 0 + 3 -5glo + 2glox = 0 + 3 Combine like terms: 0 + 3 = 3 -5glo + 2glox = 3 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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