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Simplifying 5log(3)(x + 11) = 5 Reorder the terms: 5glo * 3(11 + x) = 5 Reorder the terms for easier multiplication: 5 * 3glo(11 + x) = 5 Multiply 5 * 3 15glo(11 + x) = 5 (11 * 15glo + x * 15glo) = 5 (165glo + 15glox) = 5 Solving 165glo + 15glox = 5 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -5 + 165glo + 15glox = 5 + -5 Combine like terms: 5 + -5 = 0 -5 + 165glo + 15glox = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-1 + 33glo + 3glox) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-1 + 33glo + 3glox)' equal to zero and attempt to solve: Simplifying -1 + 33glo + 3glox = 0 Solving -1 + 33glo + 3glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 33glo + 1 + 3glox = 0 + 1 Reorder the terms: -1 + 1 + 33glo + 3glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 33glo + 3glox = 0 + 1 33glo + 3glox = 0 + 1 Combine like terms: 0 + 1 = 1 33glo + 3glox = 1 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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