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