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Simplifying ln(5) + ln(x + -8) = ln(x) Reorder the terms for easier multiplication: 5ln + ln(x + -8) = ln(x) Reorder the terms: 5ln + ln(-8 + x) = ln(x) 5ln + (-8 * ln + x * ln) = ln(x) 5ln + (-8ln + lnx) = ln(x) Combine like terms: 5ln + -8ln = -3ln -3ln + lnx = ln(x) Multiply ln * x -3ln + lnx = lnx Add '-1lnx' to each side of the equation. -3ln + lnx + -1lnx = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 -3ln + 0 = lnx + -1lnx -3ln = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 -3ln = 0 Solving -3ln = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Divide each side by '-3'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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