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Simplifying 1 + log(x + 1) = log(x + 8) Reorder the terms: 1 + glo(1 + x) = log(x + 8) 1 + (1 * glo + x * glo) = log(x + 8) 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 = -7glo 1 + -7glo = 8glo + -8glo Combine like terms: 8glo + -8glo = 0 1 + -7glo = 0 Add '-1' to each side of the equation. 1 + -1 + -7glo = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7glo = 0 + -1 -7glo = 0 + -1 Combine like terms: 0 + -1 = -1 -7glo = -1 Divide each side by '-7lo'. g = 0.1428571429l-1o-1 Simplifying g = 0.1428571429l-1o-1
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