Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Match the following :
Column I | Column II |
(i) If log3 (5+8log49(5+4 log497)) = |k| then value of k is | [A] 0 |
(ii) No. of roots of equation logx (x2 –1) = 0 is | [B] 1 |
(iii) If x = then value of is | [C] 2 |
(iv) | [D] –2 |
Correct Matrix Matching
Text Solution
Verified by ExpertsThe correct answer is:
(i) [C]; (ii) [B]; (iii) [C]; (iv) [C]
Ans.
(i) [C]
(ii) [B]
(iii) [C]
(iv) [C]
Sol. (i) log 3 (5 + 8 log 49 (5 + 4 log 49 7)) = |k|
log 3 (5 + 8 log 49 7) = |k|
log 3 9 = |k|
|k| = 2
k = ±2
(ii) log x (x 2 –1) = 0 ⇒ x 2 –1 = 1
x = ± 
but x > 0
x = 
∴ only one solution.
(iii) 
= x
= x 2 & ( 
) ( 
) = 4
= 
∴ x
2 + 
= 18
∴ 
– 4 = 18
⇒ 
= 2
(iv) 
= |log 0 . 5 4| = |–2| = 2
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