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Simplifying ln(8x) + ln(3x) = ln(10x) Remove parenthesis around (8x) ln * 8x + ln(3x) = ln(10x) Reorder the terms for easier multiplication: 8ln * x + ln(3x) = ln(10x) Multiply ln * x 8lnx + ln(3x) = ln(10x) Remove parenthesis around (3x) 8lnx + ln * 3x = ln(10x) Reorder the terms for easier multiplication: 8lnx + 3ln * x = ln(10x) Multiply ln * x 8lnx + 3lnx = ln(10x) Combine like terms: 8lnx + 3lnx = 11lnx 11lnx = ln(10x) Remove parenthesis around (10x) 11lnx = ln * 10x Reorder the terms for easier multiplication: 11lnx = 10ln * x Multiply ln * x 11lnx = 10lnx Solving 11lnx = 10lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-10lnx' to each side of the equation. 11lnx + -10lnx = 10lnx + -10lnx Combine like terms: 11lnx + -10lnx = 1lnx 1lnx = 10lnx + -10lnx Combine like terms: 10lnx + -10lnx = 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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