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