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Simplifying log(x + 1) + -1 = log(x + -8) Reorder the terms: glo(1 + x) + -1 = log(x + -8) (1 * glo + x * glo) + -1 = log(x + -8) (1glo + glox) + -1 = log(x + -8) Reorder the terms: -1 + 1glo + glox = log(x + -8) Reorder the terms: -1 + 1glo + glox = glo(-8 + x) -1 + 1glo + glox = (-8 * glo + x * glo) -1 + 1glo + glox = (-8glo + glox) Add '-1glox' to each side of the equation. -1 + 1glo + glox + -1glox = -8glo + glox + -1glox Combine like terms: glox + -1glox = 0 -1 + 1glo + 0 = -8glo + glox + -1glox -1 + 1glo = -8glo + glox + -1glox Combine like terms: glox + -1glox = 0 -1 + 1glo = -8glo + 0 -1 + 1glo = -8glo Solving -1 + 1glo = -8glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '8glo' to each side of the equation. -1 + 1glo + 8glo = -8glo + 8glo Combine like terms: 1glo + 8glo = 9glo -1 + 9glo = -8glo + 8glo Combine like terms: -8glo + 8glo = 0 -1 + 9glo = 0 Add '1' to each side of the equation. -1 + 1 + 9glo = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 9glo = 0 + 1 9glo = 0 + 1 Combine like terms: 0 + 1 = 1 9glo = 1 Divide each side by '9lo'. g = 0.1111111111l-1o-1 Simplifying g = 0.1111111111l-1o-1
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