November 24, 2024
Explanation:
18. (c) Given log4x = a & log25x = b
Using reciprocal property of log, logx 4 = 1/a & logx 25= 1/b
By adding the above two equations, logx 4 + logx 25= 1/a + 1/b
⇒ logx (4 x 25) = a+b/ab
⇒ logx100=a+b+/ab
⇒ 2logx 10 = a+b/ab
⇒ logx 10 = a+b/2ab Ans.