If `sqrt((log)_2x)-0. 5=(log)_2sqrt(x ,)` then `x` equals odd integer (b) prime number composite number (d) irrational

(log)_4 18 is (a) a rational number (b) an irrational number (c) a prime number (d) none of these

The equation (log)_(x+1)(x- .5)=(log)_(x-0. 5)(x+1) has (A) two real solutions (B) no prime solution (C) one integral solution (D) no irrational solution

If (log)_3{5+4(log)_3(x-1)}=2, then x is equal to 4 (b) 3 (c) 8 (d) (log)_2 16

Solve log_(5)sqrt(7x-4)-1/2=log_5sqrt(x+2)

Prove that number (log)_2 7 is an irrational number.

Solve sqrt("log"(-x))=logsqrt("x"^2) (base is 10).

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

If "log"_(sqrt(x)) 0.25 = 4, then the value of x is

If (log)_k xdot(log)_5k=(log)_x5,k!=1,k >0, then x is equal to (a) k (b) 1/5 (c) 5 (d) none of these

If log_(3)x-(log_(3)x)^(2)le(3)/(2)log_((1//2sqrt(2)))4 , then x can belong to