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Simplifying lnx + ln(2x) = ln(3x) Remove parenthesis around (2x) lnx + ln * 2x = ln(3x) Reorder the terms for easier multiplication: lnx + 2ln * x = ln(3x) Multiply ln * x lnx + 2lnx = ln(3x) Combine like terms: lnx + 2lnx = 3lnx 3lnx = ln(3x) Remove parenthesis around (3x) 3lnx = ln * 3x Reorder the terms for easier multiplication: 3lnx = 3ln * x Multiply ln * x 3lnx = 3lnx Add '-3lnx' to each side of the equation. 3lnx + -3lnx = 3lnx + -3lnx Combine like terms: 3lnx + -3lnx = 0 0 = 3lnx + -3lnx Combine like terms: 3lnx + -3lnx = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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