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Simplifying ln(x + -3) + ln(5) = ln(x + 17) Reorder the terms: ln(-3 + x) + ln(5) = ln(x + 17) (-3 * ln + x * ln) + ln(5) = ln(x + 17) (-3ln + lnx) + ln(5) = ln(x + 17) Reorder the terms for easier multiplication: -3ln + lnx + 5ln = ln(x + 17) Reorder the terms: -3ln + 5ln + lnx = ln(x + 17) Combine like terms: -3ln + 5ln = 2ln 2ln + lnx = ln(x + 17) Reorder the terms: 2ln + lnx = ln(17 + x) 2ln + lnx = (17 * ln + x * ln) 2ln + lnx = (17ln + lnx) Add '-1lnx' to each side of the equation. 2ln + lnx + -1lnx = 17ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 2ln + 0 = 17ln + lnx + -1lnx 2ln = 17ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 2ln = 17ln + 0 2ln = 17ln Solving 2ln = 17ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-17ln' to each side of the equation. 2ln + -17ln = 17ln + -17ln Combine like terms: 2ln + -17ln = -15ln -15ln = 17ln + -17ln Combine like terms: 17ln + -17ln = 0 -15ln = 0 Divide each side by '-15'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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