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Simplifying 5 + ln(27x) = 20 + -2ln(x) Remove parenthesis around (27x) 5 + ln * 27x = 20 + -2ln(x) Reorder the terms for easier multiplication: 5 + 27ln * x = 20 + -2ln(x) Multiply ln * x 5 + 27lnx = 20 + -2ln(x) Multiply ln * x 5 + 27lnx = 20 + -2lnx Solving 5 + 27lnx = 20 + -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. 5 + 27lnx + 2lnx = 20 + -2lnx + 2lnx Combine like terms: 27lnx + 2lnx = 29lnx 5 + 29lnx = 20 + -2lnx + 2lnx Combine like terms: -2lnx + 2lnx = 0 5 + 29lnx = 20 + 0 5 + 29lnx = 20 Add '-5' to each side of the equation. 5 + -5 + 29lnx = 20 + -5 Combine like terms: 5 + -5 = 0 0 + 29lnx = 20 + -5 29lnx = 20 + -5 Combine like terms: 20 + -5 = 15 29lnx = 15 Divide each side by '29nx'. l = 0.5172413793n-1x-1 Simplifying l = 0.5172413793n-1x-1
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