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Simplifying ln(x) = ln(x + -6) + ln(3) Multiply ln * x lnx = ln(x + -6) + ln(3) Reorder the terms: lnx = ln(-6 + x) + ln(3) lnx = (-6 * ln + x * ln) + ln(3) lnx = (-6ln + lnx) + ln(3) Reorder the terms for easier multiplication: lnx = -6ln + lnx + 3ln Reorder the terms: lnx = -6ln + 3ln + lnx Combine like terms: -6ln + 3ln = -3ln lnx = -3ln + lnx Add '-1lnx' to each side of the equation. lnx + -1lnx = -3ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 0 = -3ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 0 = -3ln + 0 0 = -3ln Solving 0 = -3ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '3ln' to each side of the equation. 0 + 3ln = -3ln + 3ln Remove the zero: 3ln = -3ln + 3ln Combine like terms: -3ln + 3ln = 0 3ln = 0 Divide each side by '3'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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