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Simplifying In(4t) + -1ln(3t) = 2 Remove parenthesis around (4t) nI * 4t + -1ln(3t) = 2 Reorder the terms for easier multiplication: 4nI * t + -1ln(3t) = 2 Multiply nI * t 4ntI + -1ln(3t) = 2 Remove parenthesis around (3t) 4ntI + -1ln * 3t = 2 Reorder the terms for easier multiplication: 4ntI + -1 * 3ln * t = 2 Multiply -1 * 3 4ntI + -3ln * t = 2 Multiply ln * t 4ntI + -3lnt = 2 Reorder the terms: -3lnt + 4ntI = 2 Solving -3lnt + 4ntI = 2 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-4ntI' to each side of the equation. -3lnt + 4ntI + -4ntI = 2 + -4ntI Combine like terms: 4ntI + -4ntI = 0 -3lnt + 0 = 2 + -4ntI -3lnt = 2 + -4ntI Divide each side by '-3nt'. l = -0.6666666667n-1t-1 + 1.333333333I Simplifying l = -0.6666666667n-1t-1 + 1.333333333I Reorder the terms: l = 1.333333333I + -0.6666666667n-1t-1
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