Find the value of
`(i) (log_(10)5)(log_(10)20)+(log_(10)2)^(2)` `(ii) root3(5^((1)/(log_(7)5))+(1)/((-log_(10)0.1)))`
`(iii) log_(0.75)log_(2)sqrtsqrt((1)/(0.125))` `(iv)5^(log_(sqrt(5))2)+9^(log_(3)7)-8^(log_(2)5)`
`(v)((1)/(49))^(1+log_(7)2)+5^(-log_(1//5)7)` `(vi) 7^(log_(3)5)+3^(log_(5)7)-5^(log_(3)7)-7^(log_(5)3)`

Answer

`(i) 1` `(ii) 2` `(iii) 1`
`(iv) -72` `(v) 7+(1)/(196)` `(vi) 0`