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