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Simplifying 2log(x + -3) + 1 = 5 Reorder the terms: 2glo(-3 + x) + 1 = 5 (-3 * 2glo + x * 2glo) + 1 = 5 (-6glo + 2glox) + 1 = 5 Reorder the terms: 1 + -6glo + 2glox = 5 Solving 1 + -6glo + 2glox = 5 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -6glo + -1 + 2glox = 5 + -1 Reorder the terms: 1 + -1 + -6glo + 2glox = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -6glo + 2glox = 5 + -1 -6glo + 2glox = 5 + -1 Combine like terms: 5 + -1 = 4 -6glo + 2glox = 4 Reorder the terms: -4 + -6glo + 2glox = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -6glo + 2glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + -3glo + glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -3glo + glox)' equal to zero and attempt to solve: Simplifying -2 + -3glo + glox = 0 Solving -2 + -3glo + glox = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -3glo + 2 + glox = 0 + 2 Reorder the terms: -2 + 2 + -3glo + glox = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3glo + glox = 0 + 2 -3glo + glox = 0 + 2 Combine like terms: 0 + 2 = 2 -3glo + glox = 2 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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