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Simplifying ln(x + -4) + ln(3) = ln(x + 4) Reorder the terms: ln(-4 + x) + ln(3) = ln(x + 4) (-4 * ln + x * ln) + ln(3) = ln(x + 4) (-4ln + lnx) + ln(3) = ln(x + 4) Reorder the terms for easier multiplication: -4ln + lnx + 3ln = ln(x + 4) Reorder the terms: -4ln + 3ln + lnx = ln(x + 4) Combine like terms: -4ln + 3ln = -1ln -1ln + lnx = ln(x + 4) Reorder the terms: -1ln + lnx = ln(4 + x) -1ln + lnx = (4 * ln + x * ln) -1ln + lnx = (4ln + lnx) Add '-1lnx' to each side of the equation. -1ln + lnx + -1lnx = 4ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 -1ln + 0 = 4ln + lnx + -1lnx -1ln = 4ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 -1ln = 4ln + 0 -1ln = 4ln Solving -1ln = 4ln 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. -1ln + -4ln = 4ln + -4ln Combine like terms: -1ln + -4ln = -5ln -5ln = 4ln + -4ln Combine like terms: 4ln + -4ln = 0 -5ln = 0 Divide each side by '-5'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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