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Simplifying ln(4) + ln(x) = ln(8) + ln(3x + -4) Reorder the terms for easier multiplication: 4ln + ln(x) = ln(8) + ln(3x + -4) Multiply ln * x 4ln + lnx = ln(8) + ln(3x + -4) Reorder the terms for easier multiplication: 4ln + lnx = 8ln + ln(3x + -4) Reorder the terms: 4ln + lnx = 8ln + ln(-4 + 3x) 4ln + lnx = 8ln + (-4 * ln + 3x * ln) 4ln + lnx = 8ln + (-4ln + 3lnx) Combine like terms: 8ln + -4ln = 4ln 4ln + lnx = 4ln + 3lnx Add '-4ln' to each side of the equation. 4ln + -4ln + lnx = 4ln + -4ln + 3lnx Combine like terms: 4ln + -4ln = 0 0 + lnx = 4ln + -4ln + 3lnx lnx = 4ln + -4ln + 3lnx Combine like terms: 4ln + -4ln = 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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