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Simplifying ln(x + -2) + ln(x + 2) = ln(2x + 11) Reorder the terms: ln(-2 + x) + ln(x + 2) = ln(2x + 11) (-2 * ln + x * ln) + ln(x + 2) = ln(2x + 11) (-2ln + lnx) + ln(x + 2) = ln(2x + 11) Reorder the terms: -2ln + lnx + ln(2 + x) = ln(2x + 11) -2ln + lnx + (2 * ln + x * ln) = ln(2x + 11) -2ln + lnx + (2ln + lnx) = ln(2x + 11) Reorder the terms: -2ln + 2ln + lnx + lnx = ln(2x + 11) Combine like terms: -2ln + 2ln = 0 0 + lnx + lnx = ln(2x + 11) lnx + lnx = ln(2x + 11) Combine like terms: lnx + lnx = 2lnx 2lnx = ln(2x + 11) Reorder the terms: 2lnx = ln(11 + 2x) 2lnx = (11 * ln + 2x * ln) 2lnx = (11ln + 2lnx) Add '-2lnx' to each side of the equation. 2lnx + -2lnx = 11ln + 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 0 = 11ln + 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 0 = 11ln + 0 0 = 11ln Solving 0 = 11ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-11ln' to each side of the equation. 0 + -11ln = 11ln + -11ln Remove the zero: -11ln = 11ln + -11ln Combine like terms: 11ln + -11ln = 0 -11ln = 0 Divide each side by '-11'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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