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

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

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

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

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

If (log)_(10)5=aa n d(log)_(10)3=b ,t h e n (A) (log)_(30)8=(3(1-a))/(b+1) (B) (log)_(40)15=(a+b)/(3-2a) (C) (log)_(243)32=(1-a)/b (d) none of these

Find the value of |(1,log_(x) y,log_(x) z),(log_(y) x,1,log_(y) z),(log_(z) x,log_(z) y,1)| if x,y,z ne 1

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

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

The number of solution of x^(log)x(x+3)^2=16 is a)0 (b) 1 (c) 2 (d) oo