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

If log_(b) n = 2 and log_(n) 2b = 2 , then find the value of b.

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

If ageqb >1, then find the largest possible value of the expression (log)_a(a/b)+(log)_b(b/a)dot

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_e((a+b)/2)=1/2(log_e a+log_e b), then find the relation between a a n d b dot

Let a , b , c , d be positive integers such that (log)_a b=3/2a n d(log)_c d=5/4dot If (a-c)=9, then find the value of (b-d)dot

If a ,b ,c ,d ,e are in A.P., the find the value of a-4b+6c-4d+edot

If (log)_a b=2,(log)_b c=2,a n d(log)_3c=3+(log)_3a , then the value of c//(a b) is............

If a ,b ,c ,d in R^+-{1}, then the minimum value of (log)_d a+(log)_b d+(log)_a c+(log)_c b is (a) 4 (b) 2 (c) 1 (d)none of these

Let a= log_(3) 20, b = log_(4) 15 and c = log_(5) 12 . Then find the value of 1/(a+1)+1/(b+1)+1/(c+1) .