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Simplifying log(5x + 2) + -1 = log(2x + -1) Reorder the terms: glo(2 + 5x) + -1 = log(2x + -1) (2 * glo + 5x * glo) + -1 = log(2x + -1) (2glo + 5glox) + -1 = log(2x + -1) Reorder the terms: -1 + 2glo + 5glox = log(2x + -1) Reorder the terms: -1 + 2glo + 5glox = glo(-1 + 2x) -1 + 2glo + 5glox = (-1 * glo + 2x * glo) -1 + 2glo + 5glox = (-1glo + 2glox) Solving -1 + 2glo + 5glox = -1glo + 2glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'glo' to each side of the equation. -1 + 2glo + glo + 5glox = -1glo + glo + 2glox Combine like terms: 2glo + glo = 3glo -1 + 3glo + 5glox = -1glo + glo + 2glox Combine like terms: -1glo + glo = 0 -1 + 3glo + 5glox = 0 + 2glox -1 + 3glo + 5glox = 2glox Add '-2glox' to each side of the equation. -1 + 3glo + 5glox + -2glox = 2glox + -2glox Combine like terms: 5glox + -2glox = 3glox -1 + 3glo + 3glox = 2glox + -2glox Combine like terms: 2glox + -2glox = 0 -1 + 3glo + 3glox = 0 Add '1' to each side of the equation. -1 + 3glo + 1 + 3glox = 0 + 1 Reorder the terms: -1 + 1 + 3glo + 3glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3glo + 3glox = 0 + 1 3glo + 3glox = 0 + 1 Combine like terms: 0 + 1 = 1 3glo + 3glox = 1 Reorder the terms: -1 + 3glo + 3glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 3glo + 3glox = 0 The solution to this equation could not be determined.
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