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Simplifying log4(2x + 6) + -1log4(x + -1) = 1 Reorder the terms: g4lo(6 + 2x) + -1log4(x + -1) = 1 (6 * g4lo + 2x * g4lo) + -1log4(x + -1) = 1 (6g4lo + 2g4lox) + -1log4(x + -1) = 1 Reorder the terms: 6g4lo + 2g4lox + -1g4lo(-1 + x) = 1 6g4lo + 2g4lox + (-1 * -1g4lo + x * -1g4lo) = 1 6g4lo + 2g4lox + (1g4lo + -1g4lox) = 1 Reorder the terms: 6g4lo + 1g4lo + 2g4lox + -1g4lox = 1 Combine like terms: 6g4lo + 1g4lo = 7g4lo 7g4lo + 2g4lox + -1g4lox = 1 Combine like terms: 2g4lox + -1g4lox = 1g4lox 7g4lo + 1g4lox = 1 Solving 7g4lo + 1g4lox = 1 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -1 + 7g4lo + 1g4lox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 7g4lo + 1g4lox = 0 The solution to this equation could not be determined.
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