" (b) If "log_(e)log_(5)[sqrt(2x-2)+3]=0

solve for x if log_(4)log_(3)log_(2)x=0 and log_(e)log_(5)(sqrt(2x+2)-3)=0

If log_(7)log_(5)(sqrt(x+5)+sqrt(x))=0, what is the value of x? a.2 c.3 c.4 d.5

The value of e^(log_(e)x+log_(sqrt(2))x)+log_(e^((1)/(3)))x+...+log_(e^((1)/(10)))x)=

2log_(2)(log_(2)x)+log_((1)/(5))(log_(2)2sqrt(2x))=1

The value of lim_(x to oo ) (log_(e)(log_(e)x))/(e^(sqrt(x))) is _________. (a) π/ 2 (b)0 (c)-π (d)π

The value of lim_(x to oo ) (log_(e)(log_(e)x))/(e^(sqrt(x))) is _________. (a) π/ 2 (b)0 (c)-π (d)π

If x gt 0, and log_(2) + log_(2)(sqrt(x)) + log_(2) (4sqrt(x)) + log_(2) ( 8sqrt(x)) + log_(2) (16sqrt(x)) + ….. = 4 then x =

{:(Column -I,Column -II),((A)"if" 4^(x)-3^(x-(1)/(2))=3^(x+(1)/(2))-2^(2x-1)"then 2x equals",(P)1),((B)"The number of solutions of" log_(7)log_(5)(sqrt(x+5)+sqrt(x))=0 is,(Q)2),((C)"The number of values of x such that the middle term of",(R)3),(log_(2)2 log_(3)(2^(x)-5)log_(3)(2^(x)-(7)/(2))"is the average of the other two is",),((D)"if" alphabeta "are the roots of the equation",(S)4),(x^(2)-(3+2^(sqrt(log_(2)3)-3sqrt(log_(3)2)))x-2(3log_(3)^(2)-2^(log_(2)^(3)))=0,),("then" 2(alpha+beta)-alpha beta"equals",):}

The value of x satisfying log_(3)4 -2 log_(3)sqrt(3x +1) =1 - log_(3)(5x -2)