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Simplifying g(x) = 2ln(x) + 3ln(x + 4) Multiply g * x gx = 2ln(x) + 3ln(x + 4) Multiply ln * x gx = 2lnx + 3ln(x + 4) Reorder the terms: gx = 2lnx + 3ln(4 + x) gx = 2lnx + (4 * 3ln + x * 3ln) gx = 2lnx + (12ln + 3lnx) Reorder the terms: gx = 12ln + 2lnx + 3lnx Combine like terms: 2lnx + 3lnx = 5lnx gx = 12ln + 5lnx Solving gx = 12ln + 5lnx Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by 'x'. g = 12lnx-1 + 5ln Simplifying g = 12lnx-1 + 5ln Reorder the terms: g = 5ln + 12lnx-1
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