Question

The value of `N=((log)_5 250)/((log)_(50)5)-((log)_5 10)/((log)_(1250)5)` is...........

Answer 1

Correct Answer - 2
` N = (log_(5)250)/(log_(50)5)-(log_(5)10)/(log_(1250)5)`
` = (log_(5)250)(log_(5)50)-(log_(5)10)(log_(5)1250)`
` = (3+log_(5)2)(2+log_(5)2)-(1+log_(5)2)xx(4+log_(5)2)`
` = (log_(5)2)^(2)+5 log_(5)2+6-[(log_(5)2)^(2)+5 log_(5)2 + 4]`
= 2