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Simplifying 4 + ln(27x) = 15 + -2ln(x) Remove parenthesis around (27x) 4 + ln * 27x = 15 + -2ln(x) Reorder the terms for easier multiplication: 4 + 27ln * x = 15 + -2ln(x) Multiply ln * x 4 + 27lnx = 15 + -2ln(x) Multiply ln * x 4 + 27lnx = 15 + -2lnx Solving 4 + 27lnx = 15 + -2lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '2lnx' to each side of the equation. 4 + 27lnx + 2lnx = 15 + -2lnx + 2lnx Combine like terms: 27lnx + 2lnx = 29lnx 4 + 29lnx = 15 + -2lnx + 2lnx Combine like terms: -2lnx + 2lnx = 0 4 + 29lnx = 15 + 0 4 + 29lnx = 15 Add '-4' to each side of the equation. 4 + -4 + 29lnx = 15 + -4 Combine like terms: 4 + -4 = 0 0 + 29lnx = 15 + -4 29lnx = 15 + -4 Combine like terms: 15 + -4 = 11 29lnx = 11 Divide each side by '29nx'. l = 0.3793103448n-1x-1 Simplifying l = 0.3793103448n-1x-1
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