IF `2^(x+5)=4^(x-1)`, then x is equal to

If 3^(x)=4^(x-1) , then x is equal to

If g is the inverse of a function f and f^'(x)=1/(1+x^5) then g(x) is equal to (1) 1""+x^5 (2) 5x^4 (3) 1/(1+{g(x)}^5) (4) 1+{g(x)}^5

If g is the inverse of a function f and f^'(x)=1/(1+x^5) then g^'(x) is equal to (1) 1""+x^5 (2) 5x^4 (3) 1/(1+{g(x)}^5) (4) 1+{g(x)}^5

If a gt 1, x gt 0 and 2^(log_(a)(2x))=5^(log_(a)(5x)) , then x is equal to

If f(x+4) = x^(2) - 1 , then f(x) is equal to

If y=log_(x^(2)+4)(7x^(2)-5x+1) , then (dy)/(dx) is equal to

If 4^x-\ 4^(x-1)=24 , then (2x)^x equals (a) 5sqrt(5) (b) sqrt(5) (c) 25sqrt(5) (d) 125

If sec x cos 5x=-1 and 0 lt x lt (pi)/(4) , then x is equal to

If lim_(xrarr1)((asin(x-1)+bcos(x-1)+4))/(x^2-1)=2 , then (a,b) is equal to

If g(x)=x ^2 +x−1 and (gof)(x)=4x^2−10x+5 , then f(5/4 ) is equal to: