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Simplifying log[2](x + 4) = -1log[2](x + -3) + 3 Reorder the terms: glo * 2(4 + x) = -1log[2](x + -3) + 3 Reorder the terms for easier multiplication: 2glo(4 + x) = -1log[2](x + -3) + 3 (4 * 2glo + x * 2glo) = -1log[2](x + -3) + 3 (8glo + 2glox) = -1log[2](x + -3) + 3 Reorder the terms: 8glo + 2glox = -1glo * 2(-3 + x) + 3 Reorder the terms for easier multiplication: 8glo + 2glox = -1 * 2glo(-3 + x) + 3 Multiply -1 * 2 8glo + 2glox = -2glo(-3 + x) + 3 8glo + 2glox = (-3 * -2glo + x * -2glo) + 3 8glo + 2glox = (6glo + -2glox) + 3 Reorder the terms: 8glo + 2glox = 3 + 6glo + -2glox Solving 8glo + 2glox = 3 + 6glo + -2glox 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. 8glo + -6glo + 2glox = 3 + 6glo + -6glo + -2glox Combine like terms: 8glo + -6glo = 2glo 2glo + 2glox = 3 + 6glo + -6glo + -2glox Combine like terms: 6glo + -6glo = 0 2glo + 2glox = 3 + 0 + -2glox 2glo + 2glox = 3 + -2glox Add '2glox' to each side of the equation. 2glo + 2glox + 2glox = 3 + -2glox + 2glox Combine like terms: 2glox + 2glox = 4glox 2glo + 4glox = 3 + -2glox + 2glox Combine like terms: -2glox + 2glox = 0 2glo + 4glox = 3 + 0 2glo + 4glox = 3 Reorder the terms: -3 + 2glo + 4glox = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 2glo + 4glox = 0 The solution to this equation could not be determined.
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