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Simplifying log9(x + 6) + -1log9(x) = log9(2) Reorder the terms: g9lo(6 + x) + -1log9(x) = log9(2) (6 * g9lo + x * g9lo) + -1log9(x) = log9(2) (6g9lo + g9lox) + -1log9(x) = log9(2) Multiply g9lo * x 6g9lo + g9lox + -1g9lox = log9(2) Combine like terms: g9lox + -1g9lox = 0 6g9lo + 0 = log9(2) 6g9lo = log9(2) Reorder the terms for easier multiplication: 6g9lo = 2g9lo Solving 6g9lo = 2g9lo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2g9lo' to each side of the equation. 6g9lo + -2g9lo = 2g9lo + -2g9lo Combine like terms: 6g9lo + -2g9lo = 4g9lo 4g9lo = 2g9lo + -2g9lo Combine like terms: 2g9lo + -2g9lo = 0 4g9lo = 0 Divide each side by '4'. g9lo = 0 Simplifying g9lo = 0 The solution to this equation could not be determined.
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