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What is logarithm of 32*4^(1/ 5) to the ...

What is logarithm of `32*4^(1/ 5)` to the base `2sqrt(2)?`

Text Solution

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`log_(2sqrt2)32root(5)4=log_((2^(3//2)))(2^(5)4^(1/5))`
` = log_((2^(3//2)))(2^(5+2/5))`
`=2/3 27/5 log_(2) 2`
` 18/5`
` = 3.6`
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