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Simplifying ln(x) + ln(6) = ln(x + 6) Multiply ln * x lnx + ln(6) = ln(x + 6) Reorder the terms for easier multiplication: lnx + 6ln = ln(x + 6) Reorder the terms: 6ln + lnx = ln(x + 6) Reorder the terms: 6ln + lnx = ln(6 + x) 6ln + lnx = (6 * ln + x * ln) 6ln + lnx = (6ln + lnx) Add '-6ln' to each side of the equation. 6ln + -6ln + lnx = 6ln + -6ln + lnx Combine like terms: 6ln + -6ln = 0 0 + lnx = 6ln + -6ln + lnx lnx = 6ln + -6ln + lnx Combine like terms: 6ln + -6ln = 0 lnx = 0 + lnx lnx = lnx Add '-1lnx' to each side of the equation. lnx + -1lnx = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 0 = lnx + -1lnx Combine like terms: lnx + -1lnx = 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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