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Simplifying ln(x + 2) + ln(5) = ln(x + 7) Reorder the terms: ln(2 + x) + ln(5) = ln(x + 7) (2 * ln + x * ln) + ln(5) = ln(x + 7) (2ln + lnx) + ln(5) = ln(x + 7) Reorder the terms for easier multiplication: 2ln + lnx + 5ln = ln(x + 7) Reorder the terms: 2ln + 5ln + lnx = ln(x + 7) Combine like terms: 2ln + 5ln = 7ln 7ln + lnx = ln(x + 7) Reorder the terms: 7ln + lnx = ln(7 + x) 7ln + lnx = (7 * ln + x * ln) 7ln + lnx = (7ln + lnx) Add '-7ln' to each side of the equation. 7ln + -7ln + lnx = 7ln + -7ln + lnx Combine like terms: 7ln + -7ln = 0 0 + lnx = 7ln + -7ln + lnx lnx = 7ln + -7ln + lnx Combine like terms: 7ln + -7ln = 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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