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Simplifying ln(3t) + -1ln(4t) = 2 Remove parenthesis around (3t) ln * 3t + -1ln(4t) = 2 Reorder the terms for easier multiplication: 3ln * t + -1ln(4t) = 2 Multiply ln * t 3lnt + -1ln(4t) = 2 Remove parenthesis around (4t) 3lnt + -1ln * 4t = 2 Reorder the terms for easier multiplication: 3lnt + -1 * 4ln * t = 2 Multiply -1 * 4 3lnt + -4ln * t = 2 Multiply ln * t 3lnt + -4lnt = 2 Combine like terms: 3lnt + -4lnt = -1lnt -1lnt = 2 Solving -1lnt = 2 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Divide each side by '-1nt'. l = -2n-1t-1 Simplifying l = -2n-1t-1
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