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Simplifying Ln(8x3) + -3ln(x) = 0 Remove parenthesis around (8x3) nL * 8x3 + -3ln(x) = 0 Reorder the terms for easier multiplication: 8nL * x3 + -3ln(x) = 0 Multiply nL * x3 8nx3L + -3ln(x) = 0 Multiply ln * x 8nx3L + -3lnx = 0 Reorder the terms: -3lnx + 8nx3L = 0 Solving -3lnx + 8nx3L = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-8nx3L' to each side of the equation. -3lnx + 8nx3L + -8nx3L = 0 + -8nx3L Combine like terms: 8nx3L + -8nx3L = 0 -3lnx + 0 = 0 + -8nx3L -3lnx = 0 + -8nx3L Remove the zero: -3lnx = -8nx3L Divide each side by '-3nx'. l = 2.666666667x2L Simplifying l = 2.666666667x2L
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