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Find the value of log(5) log(2)log(3) l...

Find the value of ` log_(5) log_(2)log_(3) log_(2) 512`.

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Verified by Experts

The correct Answer is:
0

` log_(5) log_(2) log_(3) log_(2) (2^(9))`
` = log_(5) log_(2) log_(3) 9`
` = log_(5) log_(2) log_(3) 3^(2) `
` = log_(5) log_(2) 2`
` = log_(5) 1`
= 0
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