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Simplifying 2logx + -1 = log(0.3x + -1) Reorder the terms: -1 + 2glox = log(0.3x + -1) Reorder the terms: -1 + 2glox = glo(-1 + 0.3x) -1 + 2glox = (-1 * glo + 0.3x * glo) -1 + 2glox = (-1glo + 0.3glox) Solving -1 + 2glox = -1glo + 0.3glox 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. -1 + glo + 2glox = -1glo + glo + 0.3glox Combine like terms: -1glo + glo = 0 -1 + glo + 2glox = 0 + 0.3glox -1 + glo + 2glox = 0.3glox Add '-0.3glox' to each side of the equation. -1 + glo + 2glox + -0.3glox = 0.3glox + -0.3glox Combine like terms: 2glox + -0.3glox = 1.7glox -1 + glo + 1.7glox = 0.3glox + -0.3glox Combine like terms: 0.3glox + -0.3glox = 0.0 -1 + glo + 1.7glox = 0.0 Add '1' to each side of the equation. -1 + glo + 1 + 1.7glox = 0.0 + 1 Reorder the terms: -1 + 1 + glo + 1.7glox = 0.0 + 1 Combine like terms: -1 + 1 = 0 0 + glo + 1.7glox = 0.0 + 1 glo + 1.7glox = 0.0 + 1 Combine like terms: 0.0 + 1 = 1 glo + 1.7glox = 1 Reorder the terms: -1 + glo + 1.7glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + glo + 1.7glox = 0 The solution to this equation could not be determined.
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