Number of solutions of equation `3+[x]`=`log_(2)``(9-2^({x}))+x`, `x in[-1,4]`,where `[x]` and `{x}` denote integral part and fractional part of `x` respectively a)6 b)12 c)5 d)2`

The number of integers in the range of the function f(x)=(x-[x])/(1+{x}) x(where [.] and {.} denote the integral part and fractional part functions respectively is

The number of solution of the equastion |x-1|+|x-2|=[{x}]+{[x]}+1 , where [.] and {.} denotes greatest integer function and fraction part funstion respectively is :

If f(x)=[x^(2)]+sqrt({x}^(2)), where [] and {.} denote the greatest integer and fractional part functions respectively,then

Solve : [x]^(2)=x+2{x}, where [.] and {.} denote the greatest integer and the fractional part functions, respectively.

Let {x} and [x] denote the fractional and integral part of x, respectively.So 4{x}=x+[x]

The range of function f(x)=log_(x)([x]), where [.] and {.} denotes greatest integer and fractional part function respectively

The total number of solutions of [x]^(2)=x+2{x}, where [.] and {.} denote the greatest integer and the fractional part functions,respectively,is equal to: 2 (b) 4 (c) 6 (d) none of these

Number of solutions of the equation 2x]-3{2x}=1 (where [.1] and {.} denotes greatest integer and fractional part function respectively

Number of solutions of the equation 5{x}=x+[x] and x- [x] = (1)/(2) (where [.] denotes greatest integer function and {x} denotes fractional part of x ) is