Question
If log₃(x + 1) − log₃(x − 1) = 2, find
x.Solution
ATQ,'
Using log property: log₃((x + 1)/(x − 1)) = 2 Convert to exponential form: (x + 1)/(x − 1) = 3² = 9 Simplify: x + 1 = 9x − 9 10 = 8x x = 5/4 Check validity: x > 1 ✔️ Final Answer: x = 5/4
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