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Simplifying log(x + 6) = 1 + log(x + -3) Reorder the terms: glo(6 + x) = 1 + log(x + -3) (6 * glo + x * glo) = 1 + log(x + -3) (6glo + glox) = 1 + log(x + -3) Reorder the terms: 6glo + glox = 1 + glo(-3 + x) 6glo + glox = 1 + (-3 * glo + x * glo) 6glo + glox = 1 + (-3glo + glox) Add '-1glox' to each side of the equation. 6glo + glox + -1glox = 1 + -3glo + glox + -1glox Combine like terms: glox + -1glox = 0 6glo + 0 = 1 + -3glo + glox + -1glox 6glo = 1 + -3glo + glox + -1glox Combine like terms: glox + -1glox = 0 6glo = 1 + -3glo + 0 6glo = 1 + -3glo Solving 6glo = 1 + -3glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '3glo' to each side of the equation. 6glo + 3glo = 1 + -3glo + 3glo Combine like terms: 6glo + 3glo = 9glo 9glo = 1 + -3glo + 3glo Combine like terms: -3glo + 3glo = 0 9glo = 1 + 0 9glo = 1 Divide each side by '9lo'. g = 0.1111111111l-1o-1 Simplifying g = 0.1111111111l-1o-1
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