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Simplifying log5(x + -2) = 1 + -1log5(x + -6) Reorder the terms: g5lo(-2 + x) = 1 + -1log5(x + -6) (-2 * g5lo + x * g5lo) = 1 + -1log5(x + -6) (-2g5lo + g5lox) = 1 + -1log5(x + -6) Reorder the terms: -2g5lo + g5lox = 1 + -1g5lo(-6 + x) -2g5lo + g5lox = 1 + (-6 * -1g5lo + x * -1g5lo) -2g5lo + g5lox = 1 + (6g5lo + -1g5lox) Solving -2g5lo + g5lox = 1 + 6g5lo + -1g5lox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6g5lo' to each side of the equation. -2g5lo + -6g5lo + g5lox = 1 + 6g5lo + -6g5lo + -1g5lox Combine like terms: -2g5lo + -6g5lo = -8g5lo -8g5lo + g5lox = 1 + 6g5lo + -6g5lo + -1g5lox Combine like terms: 6g5lo + -6g5lo = 0 -8g5lo + g5lox = 1 + 0 + -1g5lox -8g5lo + g5lox = 1 + -1g5lox Add 'g5lox' to each side of the equation. -8g5lo + g5lox + g5lox = 1 + -1g5lox + g5lox Combine like terms: g5lox + g5lox = 2g5lox -8g5lo + 2g5lox = 1 + -1g5lox + g5lox Combine like terms: -1g5lox + g5lox = 0 -8g5lo + 2g5lox = 1 + 0 -8g5lo + 2g5lox = 1 Reorder the terms: -1 + -8g5lo + 2g5lox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + -8g5lo + 2g5lox = 0 The solution to this equation could not be determined.
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