Question
Solve for x (x > 1): log₃(x − 1) +
log₃(x + 1) = 2Solution
ATQ, Use property: log₃(a) + log₃(b) = log₃(ab): log₃[(x − 1)(x + 1)] = 2 (x − 1)(x + 1) = 3² = 9 x² − 1 = 9 ⇒ x² = 10 ⇒ x = ±√10. Domain: x − 1 > 0 and x + 1 > 0 ⇒ x > 1. So x = √10.
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