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Simplifying 6log(4x + 4) = 24 Reorder the terms: 6glo(4 + 4x) = 24 (4 * 6glo + 4x * 6glo) = 24 (24glo + 24glox) = 24 Solving 24glo + 24glox = 24 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -24 + 24glo + 24glox = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + 24glo + 24glox = 0 Factor out the Greatest Common Factor (GCF), '24'. 24(-1 + glo + glox) = 0 Ignore the factor 24.Subproblem 1
Set the factor '(-1 + glo + glox)' equal to zero and attempt to solve: Simplifying -1 + glo + glox = 0 Solving -1 + glo + glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + glo + 1 + glox = 0 + 1 Reorder the terms: -1 + 1 + glo + glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + glo + glox = 0 + 1 glo + glox = 0 + 1 Combine like terms: 0 + 1 = 1 glo + glox = 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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