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Simplifying log(3x + -1) = 1 + -1log(3x) Reorder the terms: glo(-1 + 3x) = 1 + -1log(3x) (-1 * glo + 3x * glo) = 1 + -1log(3x) (-1glo + 3glox) = 1 + -1log(3x) Remove parenthesis around (3x) -1glo + 3glox = 1 + -1glo * 3x Reorder the terms for easier multiplication: -1glo + 3glox = 1 + -1 * 3glo * x Multiply -1 * 3 -1glo + 3glox = 1 + -3glo * x Multiply glo * x -1glo + 3glox = 1 + -3glox Solving -1glo + 3glox = 1 + -3glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '3glox' to each side of the equation. -1glo + 3glox + 3glox = 1 + -3glox + 3glox Combine like terms: 3glox + 3glox = 6glox -1glo + 6glox = 1 + -3glox + 3glox Combine like terms: -3glox + 3glox = 0 -1glo + 6glox = 1 + 0 -1glo + 6glox = 1 Reorder the terms: -1 + -1glo + 6glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + -1glo + 6glox = 0 The solution to this equation could not be determined.
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