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Simplifying ln(x) + ln(3x + 4) = 2ln(2) Multiply ln * x lnx + ln(3x + 4) = 2ln(2) Reorder the terms: lnx + ln(4 + 3x) = 2ln(2) lnx + (4 * ln + 3x * ln) = 2ln(2) lnx + (4ln + 3lnx) = 2ln(2) Reorder the terms: 4ln + lnx + 3lnx = 2ln(2) Combine like terms: lnx + 3lnx = 4lnx 4ln + 4lnx = 2ln(2) Reorder the terms for easier multiplication: 4ln + 4lnx = 2 * 2ln Multiply 2 * 2 4ln + 4lnx = 4ln Add '-4ln' to each side of the equation. 4ln + -4ln + 4lnx = 4ln + -4ln Combine like terms: 4ln + -4ln = 0 0 + 4lnx = 4ln + -4ln 4lnx = 4ln + -4ln Combine like terms: 4ln + -4ln = 0 4lnx = 0 Solving 4lnx = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Divide each side by '4'. lnx = 0 Simplifying lnx = 0 The solution to this equation could not be determined.
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