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Simplifying ln(10) + ln(3x + -2) = ln(8) Reorder the terms for easier multiplication: 10ln + ln(3x + -2) = ln(8) Reorder the terms: 10ln + ln(-2 + 3x) = ln(8) 10ln + (-2 * ln + 3x * ln) = ln(8) 10ln + (-2ln + 3lnx) = ln(8) Combine like terms: 10ln + -2ln = 8ln 8ln + 3lnx = ln(8) Reorder the terms for easier multiplication: 8ln + 3lnx = 8ln Add '-8ln' to each side of the equation. 8ln + -8ln + 3lnx = 8ln + -8ln Combine like terms: 8ln + -8ln = 0 0 + 3lnx = 8ln + -8ln 3lnx = 8ln + -8ln Combine like terms: 8ln + -8ln = 0 3lnx = 0 Solving 3lnx = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Divide each side by '3'. lnx = 0 Simplifying lnx = 0 The solution to this equation could not be determined.
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