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Simplifying ln(4x) = 2ln(7x) Remove parenthesis around (4x) ln * 4x = 2ln(7x) Reorder the terms for easier multiplication: 4ln * x = 2ln(7x) Multiply ln * x 4lnx = 2ln(7x) Remove parenthesis around (7x) 4lnx = 2ln * 7x Reorder the terms for easier multiplication: 4lnx = 2 * 7ln * x Multiply 2 * 7 4lnx = 14ln * x Multiply ln * x 4lnx = 14lnx Solving 4lnx = 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. 4lnx + -14lnx = 14lnx + -14lnx Combine like terms: 4lnx + -14lnx = -10lnx -10lnx = 14lnx + -14lnx Combine like terms: 14lnx + -14lnx = 0 -10lnx = 0 Divide each side by '-10'. lnx = 0.0 Simplifying lnx = 0.0 The solution to this equation could not be determined.
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