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Find the value of (4/(log(2)(2sqrt3))+2...

Find the value of ` (4/(log_(2)(2sqrt3))+2/(log_(3) (2sqrt3)))^(2)`.

Text Solution

Verified by Experts

The correct Answer is:
16
`(4/(log_(2)(2sqrt3))+2/(log_(3)(2sqrt3)))^(2) = (4 log_((2sqrt3))2+2 log _((2sqrt3))3)^(2)`
` = (log_(2sqrt3)16+log_(2sqrt3)9)^(2)`
` = (log_(2sqrt3)144)^(2)`
` = (log_(2sqrt3)(2 sqrt3)^(4))^(2)`
` 4^(2) = 16`
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