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Simplifying log(3)(4 + x) = log(3) * 2 + log(3) * x Reorder the terms for easier multiplication: 3glo(4 + x) = log(3) * 2 + log(3) * x (4 * 3glo + x * 3glo) = log(3) * 2 + log(3) * x (12glo + 3glox) = log(3) * 2 + log(3) * x Reorder the terms for easier multiplication: 12glo + 3glox = 3 * 2glo + log(3) * x Multiply 3 * 2 12glo + 3glox = 6glo + log(3) * x Reorder the terms for easier multiplication: 12glo + 3glox = 6glo + 3glo * x Multiply glo * x 12glo + 3glox = 6glo + 3glox Add '-3glox' to each side of the equation. 12glo + 3glox + -3glox = 6glo + 3glox + -3glox Combine like terms: 3glox + -3glox = 0 12glo + 0 = 6glo + 3glox + -3glox 12glo = 6glo + 3glox + -3glox Combine like terms: 3glox + -3glox = 0 12glo = 6glo + 0 12glo = 6glo Solving 12glo = 6glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6glo' to each side of the equation. 12glo + -6glo = 6glo + -6glo Combine like terms: 12glo + -6glo = 6glo 6glo = 6glo + -6glo Combine like terms: 6glo + -6glo = 0 6glo = 0 Divide each side by '6'. glo = 0 Simplifying glo = 0 The solution to this equation could not be determined.
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