" 6) "4^(x)-3^(x-(1)/(2))=3^(x+(1)/(2))-2^(2x-1)

{:(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",):}

Solve for x:4^(x)-3^(x-(1)/(2))=3^(x+(1)/(2))-2^(2x-1)

Solve the equations: 4^(x)-3^(x-(1)/(2))=3^(x+(1)/(2))-2^(2x-1) .

Solve for x: 4^(x) - 3^(x-1/2)=3^(x+1/2)-2^(2x-1) .

Solve for x:4^(x)-3^(x-1/2)=3^(x+1/2)-2^(2x-1)

Solve for x :4^x-3^(x-1//2)=3^(x+1//2)-2^(2x-1) .

Solve for x :4^x-3^(x-1//2)=3^(x+1//2)-2^(2x-1) .

Solve for x :4^x-3^(x-1//2)=3^(x+1//2)-2^(2x-1) .