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Simplifying 2log(x + 3) + 3 = 7 Reorder the terms: 2glo(3 + x) + 3 = 7 (3 * 2glo + x * 2glo) + 3 = 7 (6glo + 2glox) + 3 = 7 Reorder the terms: 3 + 6glo + 2glox = 7 Solving 3 + 6glo + 2glox = 7 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 6glo + -3 + 2glox = 7 + -3 Reorder the terms: 3 + -3 + 6glo + 2glox = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 6glo + 2glox = 7 + -3 6glo + 2glox = 7 + -3 Combine like terms: 7 + -3 = 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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