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Simplifying 5log(3)(x + 2) + -1 = 24 Reorder the terms: 5glo * 3(2 + x) + -1 = 24 Reorder the terms for easier multiplication: 5 * 3glo(2 + x) + -1 = 24 Multiply 5 * 3 15glo(2 + x) + -1 = 24 (2 * 15glo + x * 15glo) + -1 = 24 (30glo + 15glox) + -1 = 24 Reorder the terms: -1 + 30glo + 15glox = 24 Solving -1 + 30glo + 15glox = 24 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 + 30glo + 1 + 15glox = 24 + 1 Reorder the terms: -1 + 1 + 30glo + 15glox = 24 + 1 Combine like terms: -1 + 1 = 0 0 + 30glo + 15glox = 24 + 1 30glo + 15glox = 24 + 1 Combine like terms: 24 + 1 = 25 30glo + 15glox = 25 Reorder the terms: -25 + 30glo + 15glox = 25 + -25 Combine like terms: 25 + -25 = 0 -25 + 30glo + 15glox = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-5 + 6glo + 3glox) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-5 + 6glo + 3glox)' equal to zero and attempt to solve: Simplifying -5 + 6glo + 3glox = 0 Solving -5 + 6glo + 3glox = 0 Move all terms containing g to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 6glo + 5 + 3glox = 0 + 5 Reorder the terms: -5 + 5 + 6glo + 3glox = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 6glo + 3glox = 0 + 5 6glo + 3glox = 0 + 5 Combine like terms: 0 + 5 = 5 6glo + 3glox = 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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