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Question
Solve the following:
log (3 - x) - log (x - 3) = 1
Sum
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Solution
log (3 - x) - log (x - 3) = 1
⇒ `"log"((3 - x)/(x - 3))`
= 1
= log 10
⇒ `((3 - x)/(x - 3))` = 10
⇒ 3 - x = 10(x - 3)
⇒ 3 - x = 10x - 30
⇒ 11x = 33
⇒ x = 3.
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