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