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