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Simplifying ln(5x) = 2ln(2x) Remove parenthesis around (5x) ln * 5x = 2ln(2x) Reorder the terms for easier multiplication: 5ln * x = 2ln(2x) Multiply ln * x 5lnx = 2ln(2x) Remove parenthesis around (2x) 5lnx = 2ln * 2x Reorder the terms for easier multiplication: 5lnx = 2 * 2ln * x Multiply 2 * 2 5lnx = 4ln * x Multiply ln * x 5lnx = 4lnx Solving 5lnx = 4lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-4lnx' to each side of the equation. 5lnx + -4lnx = 4lnx + -4lnx Combine like terms: 5lnx + -4lnx = 1lnx 1lnx = 4lnx + -4lnx Combine like terms: 4lnx + -4lnx = 0 1lnx = 0 Divide each side by '1'. lnx = 0 Simplifying lnx = 0 The solution to this equation could not be determined.
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