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Question
Prove that : If a log b + b log a - 1 = 0, then ba. ab = 10
Solution
Given that
a log b + b log a - 1 = 0
⇒ a log b + b log a = 1
⇒ log ba + logab =1
⇒ log ba + log ab = log 10
⇒ log ( ba . ab ) = log 10
⇒ ba . ab = 10
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