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Simplifying 6log(x + 4) = 64 Reorder the terms: 6glo(4 + x) = 64 (4 * 6glo + x * 6glo) = 64 (24glo + 6glox) = 64 Solving 24glo + 6glox = 64 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -64 + 24glo + 6glox = 64 + -64 Combine like terms: 64 + -64 = 0 -64 + 24glo + 6glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-32 + 12glo + 3glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-32 + 12glo + 3glox)' equal to zero and attempt to solve: Simplifying -32 + 12glo + 3glox = 0 Solving -32 + 12glo + 3glox = 0 Move all terms containing g to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 12glo + 32 + 3glox = 0 + 32 Reorder the terms: -32 + 32 + 12glo + 3glox = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 12glo + 3glox = 0 + 32 12glo + 3glox = 0 + 32 Combine like terms: 0 + 32 = 32 12glo + 3glox = 32 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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