If `log_(2)^(x)=|x-1|` where `x in N` then no of solution is/are

If log_(a)(1-sqrt(1+x))=log_(a^(2))(3-sqrt(1+x)) then the number of solutions of the equation is

Find all the solutions of the equation |x-1|^((log x)^(2)-log x^(2))=|x-1|^(3), where base of logarithm is 10

If sum of maximum and minimum value of y=log_(2)(x^(4)+x^(2)+1)-log_(2)(x^(4)+x^(3)+2x^(2)+x+1) can be expressed in form ((log_(2)m)-n), where m and n are coprime then compute (m+n)

If log_(l)x,log_(m)x,log_(n)x are in arithmetic progression and x!=1, then n^(2) is :

For x in N, x gt 1 , if P =log_(x)(x+1) and Q = log_(x+1) (x+2) then which one of the following is correct?

log_(1/2)(sin x)>log_(1/2)(|cos x|), for x in [0,2 pi] ,which of these are correct for the complete solution of the given equation

If the product of the roots of the equation,x((3)/(4))(log_(2)x)^(2)+log_(2)x-(5)/(4)=sqrt(2) is (1)/((a)^((1)/(b))) (where a,b in N ) then the value of (a+b)

If log_(a)x,log_(b)x,log_(c)x are in AP, where x!=1, then

If k in N, such that log_(2)x+log_(4)x+log_(8)x=log_(k)x!=1 then the value of k is