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Simplifying 8ln(6x) = 9ln(2x) Remove parenthesis around (6x) 8ln * 6x = 9ln(2x) Reorder the terms for easier multiplication: 8 * 6ln * x = 9ln(2x) Multiply 8 * 6 48ln * x = 9ln(2x) Multiply ln * x 48lnx = 9ln(2x) Remove parenthesis around (2x) 48lnx = 9ln * 2x Reorder the terms for easier multiplication: 48lnx = 9 * 2ln * x Multiply 9 * 2 48lnx = 18ln * x Multiply ln * x 48lnx = 18lnx Solving 48lnx = 18lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-18lnx' to each side of the equation. 48lnx + -18lnx = 18lnx + -18lnx Combine like terms: 48lnx + -18lnx = 30lnx 30lnx = 18lnx + -18lnx Combine like terms: 18lnx + -18lnx = 0 30lnx = 0 Divide each side by '30'. lnx = 0.0 Simplifying lnx = 0.0 The solution to this equation could not be determined.
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