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Simplifying 6log(5x + 4) = 30 Reorder the terms: 6glo(4 + 5x) = 30 (4 * 6glo + 5x * 6glo) = 30 (24glo + 30glox) = 30 Solving 24glo + 30glox = 30 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -30 + 24glo + 30glox = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + 24glo + 30glox = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-5 + 4glo + 5glox) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-5 + 4glo + 5glox)' equal to zero and attempt to solve: Simplifying -5 + 4glo + 5glox = 0 Solving -5 + 4glo + 5glox = 0 Move all terms containing g to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 4glo + 5 + 5glox = 0 + 5 Reorder the terms: -5 + 5 + 4glo + 5glox = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4glo + 5glox = 0 + 5 4glo + 5glox = 0 + 5 Combine like terms: 0 + 5 = 5 4glo + 5glox = 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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