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Simplifying ln(7x) = 2ln(5x) Remove parenthesis around (7x) ln * 7x = 2ln(5x) Reorder the terms for easier multiplication: 7ln * x = 2ln(5x) Multiply ln * x 7lnx = 2ln(5x) Remove parenthesis around (5x) 7lnx = 2ln * 5x Reorder the terms for easier multiplication: 7lnx = 2 * 5ln * x Multiply 2 * 5 7lnx = 10ln * x Multiply ln * x 7lnx = 10lnx Solving 7lnx = 10lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-10lnx' to each side of the equation. 7lnx + -10lnx = 10lnx + -10lnx Combine like terms: 7lnx + -10lnx = -3lnx -3lnx = 10lnx + -10lnx Combine like terms: 10lnx + -10lnx = 0 -3lnx = 0 Divide each side by '-3'. lnx = 0 Simplifying lnx = 0 The solution to this equation could not be determined.
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