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Simplifying logx + -1y = log(3x + -1) Reorder the terms: glox + -1y = glo(-1 + 3x) glox + -1y = (-1 * glo + 3x * glo) glox + -1y = (-1glo + 3glox) Solving glox + -1y = -1glo + 3glox 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. glox + glo + -1y = -1glo + glo + 3glox Reorder the terms: glo + glox + -1y = -1glo + glo + 3glox Combine like terms: -1glo + glo = 0 glo + glox + -1y = 0 + 3glox glo + glox + -1y = 3glox Add '-3glox' to each side of the equation. glo + glox + -3glox + -1y = 3glox + -3glox Combine like terms: glox + -3glox = -2glox glo + -2glox + -1y = 3glox + -3glox Combine like terms: 3glox + -3glox = 0 glo + -2glox + -1y = 0 Add 'y' to each side of the equation. glo + -2glox + -1y + y = 0 + y Combine like terms: -1y + y = 0 glo + -2glox + 0 = 0 + y glo + -2glox = 0 + y Remove the zero: glo + -2glox = y Combine like terms: y + -1y = 0 glo + -2glox + -1y = 0 The solution to this equation could not be determined.
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