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Simplifying log(x + 3) = 1 + log(x + -2) Reorder the terms: glo(3 + x) = 1 + log(x + -2) (3 * glo + x * glo) = 1 + log(x + -2) (3glo + glox) = 1 + log(x + -2) Reorder the terms: 3glo + glox = 1 + glo(-2 + x) 3glo + glox = 1 + (-2 * glo + x * glo) 3glo + glox = 1 + (-2glo + glox) Add '-1glox' to each side of the equation. 3glo + glox + -1glox = 1 + -2glo + glox + -1glox Combine like terms: glox + -1glox = 0 3glo + 0 = 1 + -2glo + glox + -1glox 3glo = 1 + -2glo + glox + -1glox Combine like terms: glox + -1glox = 0 3glo = 1 + -2glo + 0 3glo = 1 + -2glo Solving 3glo = 1 + -2glo 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 = 1 + -2glo + 2glo Combine like terms: 3glo + 2glo = 5glo 5glo = 1 + -2glo + 2glo Combine like terms: -2glo + 2glo = 0 5glo = 1 + 0 5glo = 1 Divide each side by '5lo'. g = 0.2l-1o-1 Simplifying g = 0.2l-1o-1
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