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Simplifying 1 + lnx + -1ln(3x) = 4lnx Remove parenthesis around (3x) 1 + lnx + -1ln * 3x = 4lnx Reorder the terms for easier multiplication: 1 + lnx + -1 * 3ln * x = 4lnx Multiply -1 * 3 1 + lnx + -3ln * x = 4lnx Multiply ln * x 1 + lnx + -3lnx = 4lnx Combine like terms: lnx + -3lnx = -2lnx 1 + -2lnx = 4lnx Solving 1 + -2lnx = 4lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-4lnx' to each side of the equation. 1 + -2lnx + -4lnx = 4lnx + -4lnx Combine like terms: -2lnx + -4lnx = -6lnx 1 + -6lnx = 4lnx + -4lnx Combine like terms: 4lnx + -4lnx = 0 1 + -6lnx = 0 Add '-1' to each side of the equation. 1 + -1 + -6lnx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6lnx = 0 + -1 -6lnx = 0 + -1 Combine like terms: 0 + -1 = -1 -6lnx = -1 Divide each side by '-6nx'. l = 0.1666666667n-1x-1 Simplifying l = 0.1666666667n-1x-1
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