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Simplifying log(x + 2) = 1 + log(x + -5) Reorder the terms: glo(2 + x) = 1 + log(x + -5) (2 * glo + x * glo) = 1 + log(x + -5) (2glo + glox) = 1 + log(x + -5) Reorder the terms: 2glo + glox = 1 + glo(-5 + x) 2glo + glox = 1 + (-5 * glo + x * glo) 2glo + glox = 1 + (-5glo + glox) Add '-1glox' to each side of the equation. 2glo + glox + -1glox = 1 + -5glo + glox + -1glox Combine like terms: glox + -1glox = 0 2glo + 0 = 1 + -5glo + glox + -1glox 2glo = 1 + -5glo + glox + -1glox Combine like terms: glox + -1glox = 0 2glo = 1 + -5glo + 0 2glo = 1 + -5glo Solving 2glo = 1 + -5glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '5glo' to each side of the equation. 2glo + 5glo = 1 + -5glo + 5glo Combine like terms: 2glo + 5glo = 7glo 7glo = 1 + -5glo + 5glo Combine like terms: -5glo + 5glo = 0 7glo = 1 + 0 7glo = 1 Divide each side by '7lo'. g = 0.1428571429l-1o-1 Simplifying g = 0.1428571429l-1o-1
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