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Simplifying ln(5x2) = 4ln(x2) + 3 Remove parenthesis around (5x2) ln * 5x2 = 4ln(x2) + 3 Reorder the terms for easier multiplication: 5ln * x2 = 4ln(x2) + 3 Multiply ln * x2 5lnx2 = 4ln(x2) + 3 Multiply ln * x2 5lnx2 = 4lnx2 + 3 Reorder the terms: 5lnx2 = 3 + 4lnx2 Solving 5lnx2 = 3 + 4lnx2 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-4lnx2' to each side of the equation. 5lnx2 + -4lnx2 = 3 + 4lnx2 + -4lnx2 Combine like terms: 5lnx2 + -4lnx2 = 1lnx2 1lnx2 = 3 + 4lnx2 + -4lnx2 Combine like terms: 4lnx2 + -4lnx2 = 0 1lnx2 = 3 + 0 1lnx2 = 3 Divide each side by '1nx2'. l = 3n-1x-2 Simplifying l = 3n-1x-2
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