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Simplifying ln(4x + 1) = ln(x * x) + 4 Reorder the terms: ln(1 + 4x) = ln(x * x) + 4 (1 * ln + 4x * ln) = ln(x * x) + 4 (1ln + 4lnx) = ln(x * x) + 4 Multiply x * x 1ln + 4lnx = ln(x2) + 4 Multiply ln * x2 1ln + 4lnx = lnx2 + 4 Reorder the terms: 1ln + 4lnx = 4 + lnx2 Solving 1ln + 4lnx = 4 + lnx2 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1lnx2' to each side of the equation. 1ln + 4lnx + -1lnx2 = 4 + lnx2 + -1lnx2 Combine like terms: lnx2 + -1lnx2 = 0 1ln + 4lnx + -1lnx2 = 4 + 0 1ln + 4lnx + -1lnx2 = 4 Reorder the terms: -4 + 1ln + 4lnx + -1lnx2 = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 1ln + 4lnx + -1lnx2 = 0 The solution to this equation could not be determined.
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