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Simplifying 12log5(5x + 7) = 6 Reorder the terms: 12g5lo(7 + 5x) = 6 (7 * 12g5lo + 5x * 12g5lo) = 6 (84g5lo + 60g5lox) = 6 Solving 84g5lo + 60g5lox = 6 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -6 + 84g5lo + 60g5lox = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + 84g5lo + 60g5lox = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-1 + 14g5lo + 10g5lox) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-1 + 14g5lo + 10g5lox)' equal to zero and attempt to solve: Simplifying -1 + 14g5lo + 10g5lox = 0 Solving -1 + 14g5lo + 10g5lox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 14g5lo + 1 + 10g5lox = 0 + 1 Reorder the terms: -1 + 1 + 14g5lo + 10g5lox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 14g5lo + 10g5lox = 0 + 1 14g5lo + 10g5lox = 0 + 1 Combine like terms: 0 + 1 = 1 14g5lo + 10g5lox = 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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