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Simplifying ln(x + -5) + ln(4) = ln(x) + -1ln(2) Reorder the terms: ln(-5 + x) + ln(4) = ln(x) + -1ln(2) (-5 * ln + x * ln) + ln(4) = ln(x) + -1ln(2) (-5ln + lnx) + ln(4) = ln(x) + -1ln(2) Reorder the terms for easier multiplication: -5ln + lnx + 4ln = ln(x) + -1ln(2) Reorder the terms: -5ln + 4ln + lnx = ln(x) + -1ln(2) Combine like terms: -5ln + 4ln = -1ln -1ln + lnx = ln(x) + -1ln(2) Multiply ln * x -1ln + lnx = lnx + -1ln(2) Reorder the terms for easier multiplication: -1ln + lnx = lnx + -1 * 2ln Multiply -1 * 2 -1ln + lnx = lnx + -2ln Reorder the terms: -1ln + lnx = -2ln + lnx Add '-1lnx' to each side of the equation. -1ln + lnx + -1lnx = -2ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 -1ln + 0 = -2ln + lnx + -1lnx -1ln = -2ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 -1ln = -2ln + 0 -1ln = -2ln Solving -1ln = -2ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '2ln' to each side of the equation. -1ln + 2ln = -2ln + 2ln Combine like terms: -1ln + 2ln = 1ln 1ln = -2ln + 2ln Combine like terms: -2ln + 2ln = 0 1ln = 0 Divide each side by '1'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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