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Simplifying log(x + 8) = 1 + log(x + -7) Reorder the terms: glo(8 + x) = 1 + log(x + -7) (8 * glo + x * glo) = 1 + log(x + -7) (8glo + glox) = 1 + log(x + -7) Reorder the terms: 8glo + glox = 1 + glo(-7 + x) 8glo + glox = 1 + (-7 * glo + x * glo) 8glo + glox = 1 + (-7glo + glox) Add '-1glox' to each side of the equation. 8glo + glox + -1glox = 1 + -7glo + glox + -1glox Combine like terms: glox + -1glox = 0 8glo + 0 = 1 + -7glo + glox + -1glox 8glo = 1 + -7glo + glox + -1glox Combine like terms: glox + -1glox = 0 8glo = 1 + -7glo + 0 8glo = 1 + -7glo Solving 8glo = 1 + -7glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '7glo' to each side of the equation. 8glo + 7glo = 1 + -7glo + 7glo Combine like terms: 8glo + 7glo = 15glo 15glo = 1 + -7glo + 7glo Combine like terms: -7glo + 7glo = 0 15glo = 1 + 0 15glo = 1 Divide each side by '15lo'. g = 0.06666666667l-1o-1 Simplifying g = 0.06666666667l-1o-1
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