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Simplifying 2 = ln(32x + 1) Reorder the terms: 2 = ln(1 + 32x) 2 = (1 * ln + 32x * ln) 2 = (1ln + 32lnx) Solving 2 = 1ln + 32lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1ln' to each side of the equation. 2 + -1ln = 1ln + -1ln + 32lnx Combine like terms: 1ln + -1ln = 0 2 + -1ln = 0 + 32lnx 2 + -1ln = 32lnx Add '-32lnx' to each side of the equation. 2 + -1ln + -32lnx = 32lnx + -32lnx Combine like terms: 32lnx + -32lnx = 0 2 + -1ln + -32lnx = 0 Add '-2' to each side of the equation. 2 + -1ln + -2 + -32lnx = 0 + -2 Reorder the terms: 2 + -2 + -1ln + -32lnx = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1ln + -32lnx = 0 + -2 -1ln + -32lnx = 0 + -2 Combine like terms: 0 + -2 = -2 -1ln + -32lnx = -2 Reorder the terms: 2 + -1ln + -32lnx = -2 + 2 Combine like terms: -2 + 2 = 0 2 + -1ln + -32lnx = 0 The solution to this equation could not be determined.
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