`2^(-log_(1//7) 7) = 2`

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)

Find the value of (1/49)^(1+log_(7)2) + 5^(-log_((1//5))(7) .

Find the value of (1/49)^(1+log_(7)2) + 5^(-log_((1//5))(7) .

Find the value of (1/49)^(1+log_(7)2) + 5^(-log_((1//5))(7) .

(i) root(3)(5^(1/log_7 5)+1/(-log_10 0.1)) (ii) log_0.75 log_2 sqrt(sqrt(1/0.125)) (iii) (1/49)^(1+log_7 2) + 5^(-log_(1//5) 7)

((1)/(49))^(1+log_(7)2)+5^(-log_((1)/(5))7)

If z in C - {0, -2} is such that log_((1//7)) |z-2| gt log_((1//7)) |z| then

Find the value of ((1)/(49))^(1+log_(7)2)+5^(-1log_(((1)/(5)))(7))