Home
Class 14
REASONING
If (2)^(#)** 4 = 2 and (4)^(#) ** 4 = 16...

If `(2)^(#)** 4 = 2 and (4)^(#) ** 4 = 16` , then what is the value of A in ` (6)^(#) ** A = 18 ?`

A

12

B

14

C

16

D

20

Text Solution

Verified by Experts

The correct Answer is:
A
`(2)^(#)**4 = 2`
`rArr (2)^(3) div 4 = 2`
`rArr 8 div 4 = 2`
`(4)^(#) ** 4 = 16`
`rArr (4) ^(3) div 4 = 16`
`rArr 64 div 4 = 16`
`(6) ^(#) ** A = 18`
`rArr (6)^(3) div A = 18`
`rArr (216)/(A) = 18`
`:. A = (216)/(18) = 12`
Promotional Banner

Similar Questions

Explore conceptually related problems

If 4(4x)^(7)=4^(6^(2)) , then what is the value of x ?

If 2^(4)x4^(2)=16^(x), then find the value of x

If 11 $ 25 =18 ,12$ 20=16 then what is the value of 4$ 50 =?