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Simplifying ln(3x) + ln(2x) = ln(6x) Remove parenthesis around (3x) ln * 3x + ln(2x) = ln(6x) Reorder the terms for easier multiplication: 3ln * x + ln(2x) = ln(6x) Multiply ln * x 3lnx + ln(2x) = ln(6x) Remove parenthesis around (2x) 3lnx + ln * 2x = ln(6x) Reorder the terms for easier multiplication: 3lnx + 2ln * x = ln(6x) Multiply ln * x 3lnx + 2lnx = ln(6x) Combine like terms: 3lnx + 2lnx = 5lnx 5lnx = ln(6x) Remove parenthesis around (6x) 5lnx = ln * 6x Reorder the terms for easier multiplication: 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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