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Simplifying 6log[2](x + 5) = 24 Reorder the terms: 6glo * 2(5 + x) = 24 Reorder the terms for easier multiplication: 6 * 2glo(5 + x) = 24 Multiply 6 * 2 12glo(5 + x) = 24 (5 * 12glo + x * 12glo) = 24 (60glo + 12glox) = 24 Solving 60glo + 12glox = 24 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -24 + 60glo + 12glox = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + 60glo + 12glox = 0 Factor out the Greatest Common Factor (GCF), '12'. 12(-2 + 5glo + glox) = 0 Ignore the factor 12.Subproblem 1
Set the factor '(-2 + 5glo + glox)' equal to zero and attempt to solve: Simplifying -2 + 5glo + glox = 0 Solving -2 + 5glo + 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 + 5glo + 2 + glox = 0 + 2 Reorder the terms: -2 + 2 + 5glo + glox = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5glo + glox = 0 + 2 5glo + glox = 0 + 2 Combine like terms: 0 + 2 = 2 5glo + 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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