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Simplifying ln(5x) = 2ln(6x) Remove parenthesis around (5x) ln * 5x = 2ln(6x) Reorder the terms for easier multiplication: 5ln * x = 2ln(6x) Multiply ln * x 5lnx = 2ln(6x) Remove parenthesis around (6x) 5lnx = 2ln * 6x Reorder the terms for easier multiplication: 5lnx = 2 * 6ln * x Multiply 2 * 6 5lnx = 12ln * x Multiply ln * x 5lnx = 12lnx Solving 5lnx = 12lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-12lnx' to each side of the equation. 5lnx + -12lnx = 12lnx + -12lnx Combine like terms: 5lnx + -12lnx = -7lnx -7lnx = 12lnx + -12lnx Combine like terms: 12lnx + -12lnx = 0 -7lnx = 0 Divide each side by '-7'. lnx = 0 Simplifying lnx = 0 The solution to this equation could not be determined.
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