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Simplifying ln(x + 25) = ln(x) + ln(25) Reorder the terms: ln(25 + x) = ln(x) + ln(25) (25 * ln + x * ln) = ln(x) + ln(25) (25ln + lnx) = ln(x) + ln(25) Multiply ln * x 25ln + lnx = lnx + ln(25) Reorder the terms for easier multiplication: 25ln + lnx = lnx + 25ln Reorder the terms: 25ln + lnx = 25ln + lnx Add '-25ln' to each side of the equation. 25ln + -25ln + lnx = 25ln + -25ln + lnx Combine like terms: 25ln + -25ln = 0 0 + lnx = 25ln + -25ln + lnx lnx = 25ln + -25ln + lnx Combine like terms: 25ln + -25ln = 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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