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