Simplify `:""^(3)sqrt(5^((1)/(log_(7)5))+(1)/(sqrt(-log_(10)(0.1))))`

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)

Simplify 5^(log1//5^((1//2)))+log_sqrt2(4/(sqrt7+sqrt3))+log_(1//2)(1/(10+2sqrt21)) .

Which of the following numbers are non positive? (A) 5^(log_(11)7)-7(log_(11)5) (B) log_(3)(sqrt(7)-2) (C) log_(7)((1)/(2))^(-1//2) (D) log_(sqrt(2)-1) (sqrt(2)+1)/(sqrt(2)-1)

Solve : sqrt(1+log_(0.04)x)+sqrt(3+log_(0.2)x)=1

The number of real values of x satisfying the equation log_(10) sqrt(1+x)+3log_(10) sqrt(1-x)=2+log_(10) sqrt(1-x^(2)) is :

|{:(5sqrt(log_(5)3),,5sqrt(log_(5)3),,5sqrt(log_(5)3)),(3^(-log_(1//3)4),,(0.1)^(log_(0.01)4),,7^(log_(7)3)),(7,,3,,5):}|" is equal to ""____"

Evaluate {(1/(sqrt(27)))^(2-[(log_(5) 13)/(2log_(5) 9)])}^(1/2)

If (1 + 3 + 5 + .... " upto n terms ")/(4 + 7 + 10 + ... " upto n terms") = (20)/(7 " log"_(10)x) and n = log_(10)x + log_(10) x^((1)/(2)) + log_(10) x^((1)/(4)) + log_(10) x^((1)/(8)) + ... + oo , then x is equal to

The value of ((1)/(sqrt(27)))^(2-((log_(5)16)/(2log_(5)9))) equal to :

Domain of (sqrt(x^(2)-4x+3)+1) log_(5)""((x)/(5))+(1)/(x)(sqrt(8x-2x^(2)-6)+1) le 1 is