If `(log)_(10)[1/(2^x+x-1)]=x[(log)_(10)5-1]` , then `x=` 4 (b) 3 (c) 2 (d) 1

If (1)/("log"_(x)10) = (2)/("log"_(a)10)-2 , then x =

((log)_(10)(x-3))/((log)_(10)(x^2-21))=1/2 then find x.

(log)_(x-1)x (log)_(x-2)(x-1) .....(log)_(x-12)(x-11)=2,x is equal to: 9 (b) 16 (c) 25 (d) none of these

If S={x in N :2+(log)_2sqrt(x+1)>1-(log)_(1/2)sqrt(4-x^2)} , then (a)S={1} (b) S=Z (c) S=N (d) none of these

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

If y=tan^(-1){((log)_e(e//x^2))/((log)_e(e x^2))}+tan^(-1)((3+2\ (log)_e x)/(1-6\ (log)_e x)) , then (d^2y)/(dx^2)= (a) 2 (b) 1 (c) 0 (d) -1

if x+log_10 (1+2^x)=xlog_10 5+log_10 6 then x

Given system of simultaneous equations 2^x\ . 5^y=1\ a n d\ 5^(x+1). 2^y=2. Then - (a) . x=(log)_(10)5\ a n d\ y=(log)_(10)2 (b) . x=(log)_(10)2\ a n d\ y=(log)_(10)5 (c) . x=(log)_(10)(1/5)\ a n d\ y=(log)_(10)2 (d) . x=(log)_(10)5\ a n d\ y=(log)_(10)(1/2)

If 5^(3x^(2)"log"_(10)2) = 2^((x + (1)/(2))"log"_(10) 25) , then x equals to