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Simplifying log(x + 6) = log(3) + log(x) Reorder the terms: glo(6 + x) = log(3) + log(x) (6 * glo + x * glo) = log(3) + log(x) (6glo + glox) = log(3) + log(x) Reorder the terms for easier multiplication: 6glo + glox = 3glo + log(x) Multiply glo * x 6glo + glox = 3glo + glox Add '-1glox' to each side of the equation. 6glo + glox + -1glox = 3glo + glox + -1glox Combine like terms: glox + -1glox = 0 6glo + 0 = 3glo + glox + -1glox 6glo = 3glo + glox + -1glox Combine like terms: glox + -1glox = 0 6glo = 3glo + 0 6glo = 3glo Solving 6glo = 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 = 3glo + -3glo Combine like terms: 6glo + -3glo = 3glo 3glo = 3glo + -3glo Combine like terms: 3glo + -3glo = 0 3glo = 0 Divide each side by '3'. glo = 0 Simplifying glo = 0 The solution to this equation could not be determined.
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