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Simplifying ln(5x) = 2ln(3x) Remove parenthesis around (5x) ln * 5x = 2ln(3x) Reorder the terms for easier multiplication: 5ln * x = 2ln(3x) Multiply ln * x 5lnx = 2ln(3x) Remove parenthesis around (3x) 5lnx = 2ln * 3x Reorder the terms for easier multiplication: 5lnx = 2 * 3ln * x Multiply 2 * 3 5lnx = 6ln * x Multiply ln * x 5lnx = 6lnx Solving 5lnx = 6lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-6lnx' to each side of the equation. 5lnx + -6lnx = 6lnx + -6lnx Combine like terms: 5lnx + -6lnx = -1lnx -1lnx = 6lnx + -6lnx Combine like terms: 6lnx + -6lnx = 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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