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|(log)3 512(log)4 3(log)3 8(log)4 9|xx|(...

`|(log)_3 512(log)_4 3(log)_3 8(log)_4 9|xx|(log)_2 3(log)_8 3(log)_3 4(log)_3 4|=` (a) 7 (b) 10 (c) 13 (d) 17

Text Solution

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Given,`|[(log)_3 512,(log)_4 3],[(log)_3 8,(log)_4 9]| xx |[(log)_2 3,(log)_8 3],[(log)_3 4,(log)_3 4]|`
=`|[(log)_3 512 xx (log)_2 3,(log)_4 3 xx (log)_3 4],[(log)_3 8 xx (log)_2 3,(log)_4 9 xx (log)_3 4]| xx |[(log)_3 512 xx (log)_8 3,(log)_4 3 xx (log)_3 4],[(log)_3 8 xx (log)_8 3,(log)_4 9 xx (log)_3 4]| `
=`|[9+1,3+1],[3+2,1+2]|`
=`10`
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