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Simplifying ln(6x) = 2ln(7x) Remove parenthesis around (6x) ln * 6x = 2ln(7x) Reorder the terms for easier multiplication: 6ln * x = 2ln(7x) Multiply ln * x 6lnx = 2ln(7x) Remove parenthesis around (7x) 6lnx = 2ln * 7x Reorder the terms for easier multiplication: 6lnx = 2 * 7ln * x Multiply 2 * 7 6lnx = 14ln * x Multiply ln * x 6lnx = 14lnx Solving 6lnx = 14lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-14lnx' to each side of the equation. 6lnx + -14lnx = 14lnx + -14lnx Combine like terms: 6lnx + -14lnx = -8lnx -8lnx = 14lnx + -14lnx Combine like terms: 14lnx + -14lnx = 0 -8lnx = 0 Divide each side by '-8'. lnx = 0 Simplifying lnx = 0 The solution to this equation could not be determined.
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