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