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Simplifying 3 + ln(27x) = 21 + -2ln(x) Remove parenthesis around (27x) 3 + ln * 27x = 21 + -2ln(x) Reorder the terms for easier multiplication: 3 + 27ln * x = 21 + -2ln(x) Multiply ln * x 3 + 27lnx = 21 + -2ln(x) Multiply ln * x 3 + 27lnx = 21 + -2lnx Solving 3 + 27lnx = 21 + -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. 3 + 27lnx + 2lnx = 21 + -2lnx + 2lnx Combine like terms: 27lnx + 2lnx = 29lnx 3 + 29lnx = 21 + -2lnx + 2lnx Combine like terms: -2lnx + 2lnx = 0 3 + 29lnx = 21 + 0 3 + 29lnx = 21 Add '-3' to each side of the equation. 3 + -3 + 29lnx = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 29lnx = 21 + -3 29lnx = 21 + -3 Combine like terms: 21 + -3 = 18 29lnx = 18 Divide each side by '29nx'. l = 0.6206896552n-1x-1 Simplifying l = 0.6206896552n-1x-1
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