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Simplifying 2log(x + 4) = 2log(x) + 1 Reorder the terms: 2glo(4 + x) = 2log(x) + 1 (4 * 2glo + x * 2glo) = 2log(x) + 1 (8glo + 2glox) = 2log(x) + 1 Multiply glo * x 8glo + 2glox = 2glox + 1 Reorder the terms: 8glo + 2glox = 1 + 2glox Add '-2glox' to each side of the equation. 8glo + 2glox + -2glox = 1 + 2glox + -2glox Combine like terms: 2glox + -2glox = 0 8glo + 0 = 1 + 2glox + -2glox 8glo = 1 + 2glox + -2glox Combine like terms: 2glox + -2glox = 0 8glo = 1 + 0 8glo = 1 Solving 8glo = 1 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by '8lo'. g = 0.125l-1o-1 Simplifying g = 0.125l-1o-1
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