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

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)

If (log)_2x+(log)_2ygeq6, then the least value of x+y is 4 (b) 8 (d) 16 (d) 32

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

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

If (log)_2(a+b)+(log)_2(c+d)geq4. Then find the minimum value of the expression a+b+c+d

If f(x)=(tan(pi/4+(log)_e x))^((log)_x e) is to be made continuous at x=1, then what is the value of f(1)?

If (log)_b a(log)_c a+(log)_a b(log)_c b+(log)_a c(log)_bc=3 (where a , b , c are different positive real numbers !=1), then find the value of a b c dot

If log_4A = log_6B = log_9(A+B) then the value of B/A is

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

If (log)_3 2,(log)_3(2^x-5)a n d(log)_3(2^x-7/2) are in arithmetic progression, determine the value of xdot