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