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Simplifying 8 + ln(27x) = 29 + -2ln(x) Remove parenthesis around (27x) 8 + ln * 27x = 29 + -2ln(x) Reorder the terms for easier multiplication: 8 + 27ln * x = 29 + -2ln(x) Multiply ln * x 8 + 27lnx = 29 + -2ln(x) Multiply ln * x 8 + 27lnx = 29 + -2lnx Solving 8 + 27lnx = 29 + -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. 8 + 27lnx + 2lnx = 29 + -2lnx + 2lnx Combine like terms: 27lnx + 2lnx = 29lnx 8 + 29lnx = 29 + -2lnx + 2lnx Combine like terms: -2lnx + 2lnx = 0 8 + 29lnx = 29 + 0 8 + 29lnx = 29 Add '-8' to each side of the equation. 8 + -8 + 29lnx = 29 + -8 Combine like terms: 8 + -8 = 0 0 + 29lnx = 29 + -8 29lnx = 29 + -8 Combine like terms: 29 + -8 = 21 29lnx = 21 Divide each side by '29nx'. l = 0.724137931n-1x-1 Simplifying l = 0.724137931n-1x-1
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