Let `f(x)=(log)_2(log)_3(log)_4(log)_5(s in x+a^2)dot` Find the set of values of `a` for which the domain of `f(x)i sRdot`

Solve (log)_x2(log)_(2x)2=(log)_(4x)2.

Let f(x) = sqrt(log_(10)x^(2)) .Find the set of all values of x for which f (x) is real.

If f(x)=log_(e)(log_(e)x)/log_(e)x then f'(x) at x = e is

Log f(x)=log((log)_(1//3)((log)_7(sinx+a))) be defined for every real value of x , then the possible value of a is 3 (b) 4 (c) 5 (d) 6

If log_2x+log_(4)x+log_(16)x=7/2 , find the value of x.

Solve (log)_2(3x-2)=(log)_(1/2)x

Let f(x) be a function such that f(x)=(log)_(1/2)[(log)_3(sinx+a]dot If f(x) is decreasing for all real values of x , then a in (1,4) (b) a in (4,oo) a in (2,3) (d) a in (2,oo)

Solve (log)_4 8+(log)_4(x+3)-(log)_4(x-1)=2.

Solve : 2(log)_3x-4(log)_x 27lt=5 (x >1)