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Simplifying ln(4x) + ln(6) = ln(4x + 6) Remove parenthesis around (4x) ln * 4x + ln(6) = ln(4x + 6) Reorder the terms for easier multiplication: 4ln * x + ln(6) = ln(4x + 6) Multiply ln * x 4lnx + ln(6) = ln(4x + 6) Reorder the terms for easier multiplication: 4lnx + 6ln = ln(4x + 6) Reorder the terms: 6ln + 4lnx = ln(4x + 6) Reorder the terms: 6ln + 4lnx = ln(6 + 4x) 6ln + 4lnx = (6 * ln + 4x * ln) 6ln + 4lnx = (6ln + 4lnx) Add '-6ln' to each side of the equation. 6ln + -6ln + 4lnx = 6ln + -6ln + 4lnx Combine like terms: 6ln + -6ln = 0 0 + 4lnx = 6ln + -6ln + 4lnx 4lnx = 6ln + -6ln + 4lnx Combine like terms: 6ln + -6ln = 0 4lnx = 0 + 4lnx 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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