Question

if 4^a=3,7^b=4,3^c=7 then abc=?

​

Answer 1

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.