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Simplifying log(x + -1) = 2 + log(x + -16) Reorder the terms: glo(-1 + x) = 2 + log(x + -16) (-1 * glo + x * glo) = 2 + log(x + -16) (-1glo + glox) = 2 + log(x + -16) Reorder the terms: -1glo + glox = 2 + glo(-16 + x) -1glo + glox = 2 + (-16 * glo + x * glo) -1glo + glox = 2 + (-16glo + glox) Add '-1glox' to each side of the equation. -1glo + glox + -1glox = 2 + -16glo + glox + -1glox Combine like terms: glox + -1glox = 0 -1glo + 0 = 2 + -16glo + glox + -1glox -1glo = 2 + -16glo + glox + -1glox Combine like terms: glox + -1glox = 0 -1glo = 2 + -16glo + 0 -1glo = 2 + -16glo Solving -1glo = 2 + -16glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '16glo' to each side of the equation. -1glo + 16glo = 2 + -16glo + 16glo Combine like terms: -1glo + 16glo = 15glo 15glo = 2 + -16glo + 16glo Combine like terms: -16glo + 16glo = 0 15glo = 2 + 0 15glo = 2 Divide each side by '15lo'. g = 0.1333333333l-1o-1 Simplifying g = 0.1333333333l-1o-1
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