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Simplifying ln(3) + ln(x) = ln(6) + ln(3x + -3) Reorder the terms for easier multiplication: 3ln + ln(x) = ln(6) + ln(3x + -3) Multiply ln * x 3ln + lnx = ln(6) + ln(3x + -3) Reorder the terms for easier multiplication: 3ln + lnx = 6ln + ln(3x + -3) Reorder the terms: 3ln + lnx = 6ln + ln(-3 + 3x) 3ln + lnx = 6ln + (-3 * ln + 3x * ln) 3ln + lnx = 6ln + (-3ln + 3lnx) Combine like terms: 6ln + -3ln = 3ln 3ln + lnx = 3ln + 3lnx Add '-3ln' to each side of the equation. 3ln + -3ln + lnx = 3ln + -3ln + 3lnx Combine like terms: 3ln + -3ln = 0 0 + lnx = 3ln + -3ln + 3lnx lnx = 3ln + -3ln + 3lnx Combine like terms: 3ln + -3ln = 0 lnx = 0 + 3lnx lnx = 3lnx Solving lnx = 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. lnx + -3lnx = 3lnx + -3lnx Combine like terms: lnx + -3lnx = -2lnx -2lnx = 3lnx + -3lnx Combine like terms: 3lnx + -3lnx = 0 -2lnx = 0 Divide each side by '-2'. lnx = 0 Simplifying lnx = 0 The solution to this equation could not be determined.
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