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If (9)^(2x+4)=(243)^(2x-3.2) , then x =...

If `(9)^(2x+4)=(243)^(2x-3.2)` , then x =_______

A

12

B

10

C

8

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
Given ,
`(9)^(2x+4)=(243)^(2x-3.2)`
`rArr (3)^(4x+8)=(3)^(10x-16)`
`rArr 4x+8=10x-16`
`rArr 6x=24rArr x=4`
Hence the correct option is (d).
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