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Simplifying ln(x) = ln(x + -2) + ln(6) Multiply ln * x lnx = ln(x + -2) + ln(6) Reorder the terms: lnx = ln(-2 + x) + ln(6) lnx = (-2 * ln + x * ln) + ln(6) lnx = (-2ln + lnx) + ln(6) Reorder the terms for easier multiplication: lnx = -2ln + lnx + 6ln Reorder the terms: lnx = -2ln + 6ln + lnx Combine like terms: -2ln + 6ln = 4ln lnx = 4ln + lnx Add '-1lnx' to each side of the equation. lnx + -1lnx = 4ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 0 = 4ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 0 = 4ln + 0 0 = 4ln Solving 0 = 4ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-4ln' to each side of the equation. 0 + -4ln = 4ln + -4ln Remove the zero: -4ln = 4ln + -4ln Combine like terms: 4ln + -4ln = 0 -4ln = 0 Divide each side by '-4'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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