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Simplifying ln(4y + -5) + ln(4) = (3x) + ln(2x) Reorder the terms: ln(-5 + 4y) + ln(4) = (3x) + ln(2x) (-5 * ln + 4y * ln) + ln(4) = (3x) + ln(2x) (-5ln + 4lny) + ln(4) = (3x) + ln(2x) Reorder the terms for easier multiplication: -5ln + 4lny + 4ln = (3x) + ln(2x) Reorder the terms: -5ln + 4ln + 4lny = (3x) + ln(2x) Combine like terms: -5ln + 4ln = -1ln -1ln + 4lny = (3x) + ln(2x) Remove parenthesis around (2x) -1ln + 4lny = (3x) + ln * 2x Reorder the terms for easier multiplication: -1ln + 4lny = (3x) + 2ln * x Multiply ln * x -1ln + 4lny = (3x) + 2lnx Reorder the terms: -1ln + 4lny = 2lnx + (3x) Solving -1ln + 4lny = 2lnx + (3x) Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2lnx' to each side of the equation. -1ln + -2lnx + 4lny = 2lnx + -2lnx + (3x) Combine like terms: 2lnx + -2lnx = 0 -1ln + -2lnx + 4lny = 0 + (3x) -1ln + -2lnx + 4lny = (3x) Combine like terms: (3x) + (-3x) = 0 -1ln + -2lnx + 4lny + (-3x) = 0 The solution to this equation could not be determined.
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