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If 2^(a)=4^(b)=8^(c)=64,then which of th...

If `2^(a)=4^(b)=8^(c)=64`,then which of the following relations hod true?

A

`a+b+c=8`

B

`a+b+c=9`

C

`a+b+c=10`

D

`a+b+c=11`

Text Solution

Verified by Experts

The correct Answer is:
D
Given `2^a=4^b=8^c =64`
`rArr 2^a=2^6rArr a=6`
`4^b=4^3rArrb=3`
`8^c=8^2rArr c=2`
`therefore a+b +c=11`
Hence, the correct option is (d).
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