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Simplifying 0.5ln(x + 4) = ln(x + 2) Reorder the terms: 0.5ln(4 + x) = ln(x + 2) (4 * 0.5ln + x * 0.5ln) = ln(x + 2) (2ln + 0.5lnx) = ln(x + 2) Reorder the terms: 2ln + 0.5lnx = ln(2 + x) 2ln + 0.5lnx = (2 * ln + x * ln) 2ln + 0.5lnx = (2ln + lnx) Add '-2ln' to each side of the equation. 2ln + -2ln + 0.5lnx = 2ln + -2ln + lnx Combine like terms: 2ln + -2ln = 0 0 + 0.5lnx = 2ln + -2ln + lnx 0.5lnx = 2ln + -2ln + lnx Combine like terms: 2ln + -2ln = 0 0.5lnx = 0 + lnx 0.5lnx = lnx Solving 0.5lnx = lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1lnx' to each side of the equation. 0.5lnx + -1lnx = lnx + -1lnx Combine like terms: 0.5lnx + -1lnx = -0.5lnx -0.5lnx = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 -0.5lnx = 0 Divide each side by '-0.5'. lnx = 0 Simplifying lnx = 0 The solution to this equation could not be determined.
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