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If 2^(7x-5)=(32)^(x-7), then find the va...

If `2^(7x-5)=(32)^(x-7)`, then find the value of `(1)/(2^x)`

A

`2^17`

B

`2^16`

C

`2^15`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Given `2^(7x-5)=(32)^(x-7)`
`rArr 2^(7x-5)=2^(5x-35) (because 32=2^5)`
`rArr 7x-5=5x=35`
`rArr 2x=-30`
`rArr x=-15`
`therefore (1)/(2^x)=(1)/(2^-15)=2^15`
Hence , the correct option is (c).
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