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Simplifying ln(2x) + ln(3x) = ln(7x) Remove parenthesis around (2x) ln * 2x + ln(3x) = ln(7x) Reorder the terms for easier multiplication: 2ln * x + ln(3x) = ln(7x) Multiply ln * x 2lnx + ln(3x) = ln(7x) Remove parenthesis around (3x) 2lnx + ln * 3x = ln(7x) Reorder the terms for easier multiplication: 2lnx + 3ln * x = ln(7x) Multiply ln * x 2lnx + 3lnx = ln(7x) Combine like terms: 2lnx + 3lnx = 5lnx 5lnx = ln(7x) Remove parenthesis around (7x) 5lnx = ln * 7x Reorder the terms for easier multiplication: 5lnx = 7ln * x Multiply ln * x 5lnx = 7lnx Solving 5lnx = 7lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-7lnx' to each side of the equation. 5lnx + -7lnx = 7lnx + -7lnx Combine like terms: 5lnx + -7lnx = -2lnx -2lnx = 7lnx + -7lnx Combine like terms: 7lnx + -7lnx = 0 -2lnx = 0 Divide each side by '-2'. lnx = 0 Simplifying lnx = 0 The solution to this equation could not be determined.
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