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Simplifying 6log4(x + 5) = 12 Reorder the terms: 6g4lo(5 + x) = 12 (5 * 6g4lo + x * 6g4lo) = 12 (30g4lo + 6g4lox) = 12 Solving 30g4lo + 6g4lox = 12 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -12 + 30g4lo + 6g4lox = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + 30g4lo + 6g4lox = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-2 + 5g4lo + g4lox) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-2 + 5g4lo + g4lox)' equal to zero and attempt to solve: Simplifying -2 + 5g4lo + g4lox = 0 Solving -2 + 5g4lo + g4lox = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 5g4lo + 2 + g4lox = 0 + 2 Reorder the terms: -2 + 2 + 5g4lo + g4lox = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5g4lo + g4lox = 0 + 2 5g4lo + g4lox = 0 + 2 Combine like terms: 0 + 2 = 2 5g4lo + g4lox = 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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