The value of `(1+2(log)_3 2)/((1+(log)_3 2)^2)+((log)_6 2)^2` is 2 (b) 3 (c) 4 (d) 1

The value of ((log)_2 24)/((log)_(96)2)-((log)_2 192)/((log)_(12)2) is 3 (b) 0 (c) 2 (d) 1

The value of 2log 10+3log2 is

Solve 4^((log)_9x)-6x^((log)_9 2)+2^((log)_3 27)=0

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

The value of (6a^((log)_e b)((log)_(a^2)b)((log)_(b^2)a))/(e^((log)_e a(log)_e b)) is (a) independent of a (b) independent of b (c) dependent on a (d) dependent on b

If 3^x=4^(x-1) , then x= (2(log)_3 2)/(2(log)_3 2-1) (b) 2/(2-(log)_2 3) 1/(1-(log)_4 3) (d) (2(log)_2 3)/(2(log)_2 3-1)

The value of 3^((log)_4 5)-5^((log)_4 3) is 0 (b) 1 (c) 2 (d) none of these

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

Let a >1 be a real number. Then the number of roots equation a^(2(log)_2x)=15+4x^((log)_2a) is 2 (b) infinite (c) 0 (d) 1

If 2^(x+y)=6^ya n d3^(x-1)=2^(y+1), then the value of (log3-log2)(x-y) is 1 (b) (log)_2 3-(log)_3 2 log(3/2) (d) none of these