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Simplifying ln(4x) = 2ln(2x) Remove parenthesis around (4x) ln * 4x = 2ln(2x) Reorder the terms for easier multiplication: 4ln * x = 2ln(2x) Multiply ln * x 4lnx = 2ln(2x) Remove parenthesis around (2x) 4lnx = 2ln * 2x Reorder the terms for easier multiplication: 4lnx = 2 * 2ln * x Multiply 2 * 2 4lnx = 4ln * x Multiply ln * x 4lnx = 4lnx Add '-4lnx' to each side of the equation. 4lnx + -4lnx = 4lnx + -4lnx Combine like terms: 4lnx + -4lnx = 0 0 = 4lnx + -4lnx Combine like terms: 4lnx + -4lnx = 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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