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Simplifying 3ln(0.5t) = 4ln(t) Remove parenthesis around (0.5t) 3ln * 0.5t = 4ln(t) Reorder the terms for easier multiplication: 3 * 0.5ln * t = 4ln(t) Multiply 3 * 0.5 1.5ln * t = 4ln(t) Multiply ln * t 1.5lnt = 4ln(t) Multiply ln * t 1.5lnt = 4lnt Solving 1.5lnt = 4lnt Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-4lnt' to each side of the equation. 1.5lnt + -4lnt = 4lnt + -4lnt Combine like terms: 1.5lnt + -4lnt = -2.5lnt -2.5lnt = 4lnt + -4lnt Combine like terms: 4lnt + -4lnt = 0 -2.5lnt = 0 Divide each side by '-2.5'. lnt = 0 Simplifying lnt = 0 The solution to this equation could not be determined.
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