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Simplifying 1 + 0.5log(2x + -1) = log(4x + -2) Reorder the terms: 1 + 0.5glo(-1 + 2x) = log(4x + -2) 1 + (-1 * 0.5glo + 2x * 0.5glo) = log(4x + -2) 1 + (-0.5glo + 1glox) = log(4x + -2) Reorder the terms: 1 + -0.5glo + 1glox = glo(-2 + 4x) 1 + -0.5glo + 1glox = (-2 * glo + 4x * glo) 1 + -0.5glo + 1glox = (-2glo + 4glox) Solving 1 + -0.5glo + 1glox = -2glo + 4glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '2glo' to each side of the equation. 1 + -0.5glo + 2glo + 1glox = -2glo + 2glo + 4glox Combine like terms: -0.5glo + 2glo = 1.5glo 1 + 1.5glo + 1glox = -2glo + 2glo + 4glox Combine like terms: -2glo + 2glo = 0 1 + 1.5glo + 1glox = 0 + 4glox 1 + 1.5glo + 1glox = 4glox Add '-4glox' to each side of the equation. 1 + 1.5glo + 1glox + -4glox = 4glox + -4glox Combine like terms: 1glox + -4glox = -3glox 1 + 1.5glo + -3glox = 4glox + -4glox Combine like terms: 4glox + -4glox = 0 1 + 1.5glo + -3glox = 0 Add '-1' to each side of the equation. 1 + 1.5glo + -1 + -3glox = 0 + -1 Reorder the terms: 1 + -1 + 1.5glo + -3glox = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1.5glo + -3glox = 0 + -1 1.5glo + -3glox = 0 + -1 Combine like terms: 0 + -1 = -1 1.5glo + -3glox = -1 Reorder the terms: 1 + 1.5glo + -3glox = -1 + 1 Combine like terms: -1 + 1 = 0 1 + 1.5glo + -3glox = 0 The solution to this equation could not be determined.
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