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Simplifying ln(4x) + 2ln(2x) + -63 = 0 Remove parenthesis around (4x) ln * 4x + 2ln(2x) + -63 = 0 Reorder the terms for easier multiplication: 4ln * x + 2ln(2x) + -63 = 0 Multiply ln * x 4lnx + 2ln(2x) + -63 = 0 Remove parenthesis around (2x) 4lnx + 2ln * 2x + -63 = 0 Reorder the terms for easier multiplication: 4lnx + 2 * 2ln * x + -63 = 0 Multiply 2 * 2 4lnx + 4ln * x + -63 = 0 Multiply ln * x 4lnx + 4lnx + -63 = 0 Reorder the terms: -63 + 4lnx + 4lnx = 0 Combine like terms: 4lnx + 4lnx = 8lnx -63 + 8lnx = 0 Solving -63 + 8lnx = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + 8lnx = 0 + 63 Combine like terms: -63 + 63 = 0 0 + 8lnx = 0 + 63 8lnx = 0 + 63 Combine like terms: 0 + 63 = 63 8lnx = 63 Divide each side by '8nx'. l = 7.875n-1x-1 Simplifying l = 7.875n-1x-1
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