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Simplifying ln(2x) = ln(x + -4) + 1 Remove parenthesis around (2x) ln * 2x = ln(x + -4) + 1 Reorder the terms for easier multiplication: 2ln * x = ln(x + -4) + 1 Multiply ln * x 2lnx = ln(x + -4) + 1 Reorder the terms: 2lnx = ln(-4 + x) + 1 2lnx = (-4 * ln + x * ln) + 1 2lnx = (-4ln + lnx) + 1 Reorder the terms: 2lnx = 1 + -4ln + lnx Solving 2lnx = 1 + -4ln + lnx 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 = 1 + -4ln + 4ln + lnx Combine like terms: -4ln + 4ln = 0 4ln + 2lnx = 1 + 0 + lnx 4ln + 2lnx = 1 + lnx Add '-1lnx' to each side of the equation. 4ln + 2lnx + -1lnx = 1 + lnx + -1lnx Combine like terms: 2lnx + -1lnx = 1lnx 4ln + 1lnx = 1 + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 4ln + 1lnx = 1 + 0 4ln + 1lnx = 1 Reorder the terms: -1 + 4ln + 1lnx = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 4ln + 1lnx = 0 The solution to this equation could not be determined.
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