If `(x+1)^((log)_(10)(x+1))=100(x+1),` then

If x y^2=4a n d(log)_3((log)_2x)+(log)_(1/3)((log)_(1/2)y)=1 ,then x equals (a) 4 (b) 8 (c) 16 (d) 64

Which of the following pairs of expression are defined for the same set of values of x ? f_1(x)=2(log)_2xa n df_2(x)=(log)_(10)x^2 f_1(x)=(log)_xx^2a n df_2(x)=2 f_1(x)=(log)_(10)(x-2)+(log)_(10)(x-3)a n df_(2(x))=(log)_(10)(x-2)(x-3)dot

The global maximum value of f(x0=(log)_(10)(4x^3-12 x^2+11 x-3),x in [2,3], is -3/2(log)_(10)3 (b) 1+(log)_(10)3 (log)_(10)3 (d) 3/2(log)_(10)3

Solve: (log)_2((x^2+1)/(x-1))<0

Solve: |x-1|^((log)_(10)x)^2-(log)_(10)x^2=|x-1|^3

The number of positive integers satisfying x+(log)_(10)(2^x+1)=x(log)_(10)5+(log)_(10)6 is...........

Evaluate int_(1)^(2)(log(x+1))/(x+1)dx

If f(x)={xcosx+(log)_e((1-x)/(1+x))a; x=0; x!=0 is odd, then a_______,

If f(x)={xcosx+(log)_e((1-x)/(1+x))a; x=0; x!=0 is odd, then a_______,

Solve : (log)_((x+3))(x^2-x)<1