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(2^(log6 18))*(3^(log6 3))...

`(2^(log_6 18))*(3^(log_6 3))`

A

6

B

9

C

12

D

18

Text Solution

Verified by Experts

The correct Answer is:
A
`(2^(log_(6)18)).(3^(log_(6)3))`
`=(2^(log_(6)6+log_(6)3)).(3^(log_(6)3))`
`=2(2^(log_(6)3)).(3^(log_(6)3))`
`= 2.6^(log_(6)3)`
`=2.3^(log_(6)6)`
`=2xx3=6`
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