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Simplifying Ln(4t) + -1ln(3t2) = 2 Remove parenthesis around (4t) nL * 4t + -1ln(3t2) = 2 Reorder the terms for easier multiplication: 4nL * t + -1ln(3t2) = 2 Multiply nL * t 4ntL + -1ln(3t2) = 2 Remove parenthesis around (3t2) 4ntL + -1ln * 3t2 = 2 Reorder the terms for easier multiplication: 4ntL + -1 * 3ln * t2 = 2 Multiply -1 * 3 4ntL + -3ln * t2 = 2 Multiply ln * t2 4ntL + -3lnt2 = 2 Reorder the terms: -3lnt2 + 4ntL = 2 Solving -3lnt2 + 4ntL = 2 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-4ntL' to each side of the equation. -3lnt2 + 4ntL + -4ntL = 2 + -4ntL Combine like terms: 4ntL + -4ntL = 0 -3lnt2 + 0 = 2 + -4ntL -3lnt2 = 2 + -4ntL Divide each side by '-3nt2'. l = -0.6666666667n-1t-2 + 1.333333333t-1L Simplifying l = -0.6666666667n-1t-2 + 1.333333333t-1L
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