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Simplifying ln(6y + -4) = 5x + ln(2x) Reorder the terms: ln(-4 + 6y) = 5x + ln(2x) (-4 * ln + 6y * ln) = 5x + ln(2x) (-4ln + 6lny) = 5x + ln(2x) Remove parenthesis around (2x) -4ln + 6lny = 5x + ln * 2x Reorder the terms for easier multiplication: -4ln + 6lny = 5x + 2ln * x Multiply ln * x -4ln + 6lny = 5x + 2lnx Reorder the terms: -4ln + 6lny = 2lnx + 5x Solving -4ln + 6lny = 2lnx + 5x 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. -4ln + -2lnx + 6lny = 2lnx + -2lnx + 5x Combine like terms: 2lnx + -2lnx = 0 -4ln + -2lnx + 6lny = 0 + 5x -4ln + -2lnx + 6lny = 5x Combine like terms: 5x + -5x = 0 -4ln + -2lnx + 6lny + -5x = 0 The solution to this equation could not be determined.
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