if 4^a=3,7^b=4,3^c=7 then abc=?
sanatanpatra231:
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Solution:q
=> 4^a = 3, i.e. 4 = 3^(1/a) ... (1)
=> 7^b = 4, i.e. 7 = 4^(1/b) ... (2)
=> 3^c = 7, i.e. 3 = 7^(1/c) ... (3)
From (1) & (2),
=> 3^(1/a) = 7^(1/b)
=> 7 = 3^(1/ab) ... (4)
From (3) and (4),
=> 3^c = 3^(1/ab)
i.e. c = 1/ab
Therefore, abc = 1.
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