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Simplifying log(4)(3x + 2) = log(4) * 5 + -1log(4) * 3 Reorder the terms: glo * 4(2 + 3x) = log(4) * 5 + -1log(4) * 3 Reorder the terms for easier multiplication: 4glo(2 + 3x) = log(4) * 5 + -1log(4) * 3 (2 * 4glo + 3x * 4glo) = log(4) * 5 + -1log(4) * 3 (8glo + 12glox) = log(4) * 5 + -1log(4) * 3 Reorder the terms for easier multiplication: 8glo + 12glox = 4 * 5glo + -1log(4) * 3 Multiply 4 * 5 8glo + 12glox = 20glo + -1log(4) * 3 Reorder the terms for easier multiplication: 8glo + 12glox = 20glo + -1 * 4 * 3glo Multiply -1 * 4 8glo + 12glox = 20glo + -4 * 3glo Multiply -4 * 3 8glo + 12glox = 20glo + -12glo Combine like terms: 20glo + -12glo = 8glo 8glo + 12glox = 8glo Add '-8glo' to each side of the equation. 8glo + -8glo + 12glox = 8glo + -8glo Combine like terms: 8glo + -8glo = 0 0 + 12glox = 8glo + -8glo 12glox = 8glo + -8glo Combine like terms: 8glo + -8glo = 0 12glox = 0 Solving 12glox = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by '12'. glox = 0 Simplifying glox = 0 The solution to this equation could not be determined.
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