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