If [x] denotes the greatest integer less...

If [x] denotes the greatest integer less than or equal to x, then `["log"_(10) 6730.4]=`

A

6

B

4

C

5

D

none of these

Text Solution

Verified by Experts

The correct Answer is:

D

We have,
`10^(3) lt 6730.40 lt 10^(4)`
`rArr 3 lt "log"_(10) 6730.40 lt 4 rArr ["log"_(10) 6730.40]=3`

Topper's Solved these Questions

LOGARITHMS
OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|8 Videos
LOGARITHMS
OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|66 Videos
LOGARITHMS
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|21 Videos
INEQUALITIES
OBJECTIVE RD SHARMA ENGLISH|Exercise EXERCISE SECTION-II (Assertion-Reason )|1 Videos
MATRICES
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

If the function f: R->R be such that f(x) = x-[x], where [x] denotes the greatest integer less than or equal to x, then f^-1(x) is

If [x] denotes the greatest integer less than or equal to*, then [(1 + 0.0001)^10000] equals

If [x] denotes the greatest integer less than or equal to x,then the value of lim_(x->1)(1-x+[x-1]+[1-x]) is

If [x] denotes the greatest integer less than or equal to x, then evaluate lim_(ntooo) (1)/(n^(3))([1^(1)x]+[2^(2)x]+[3^(2)x]+...+[n^(2)x]).

If [x] denotes the greatest integer less than or equal to x, then evaluate lim_(ntooo) (1)/(n^(2))([1.x]+[2.x]+[3.x]+...+[n.x]).

If [x] denotes the greatest integer less than or equal to x , then evaluate ("lim")_(nvecoo)1/(n^3){[1^2x]+[2^2x]+[3^2x]+}[n^2x]}

If [x] denotes the greatest integer less then or equal to x, then [ (6sqrt(6) + 14)^(2n +1)]

Solve the equation x^(3)-[x]=3 , where [x] denotes the greatest integer less than or equal to x .

If f(x)={{:((sin[x])/([x])","" ""for "[x]ne0),(0","" ""for "[x]=0):} where [x] denotes the greatest integer less than or equal to x. Then find lim_(xto0)f(x).

lim_(xrarr oo) (log[x])/(x) , where [x] denotes the greatest integer less than or equal to x, is

OBJECTIVE RD SHARMA ENGLISH-LOGARITHMS-Section I - Solved Mcqs

If x1,x2,x3,... are positive numbers in G.P then logxn, logx(n+1), log...
Text Solution
|
If log (cos x ) sin ge 2 and 0 le x le 3pi then sin x lies in the inte...
Text Solution
|
The number of values of x in [0,npi] ,n in Z that satisfy the equati...
Text Solution
|
Number of integral values of x which satisfying the equation, 9^(log(...
Text Solution
|
If x^({(3)/(4)("log"(3)x)^(2) + ("log"(3)x)-(5)/(4)}) = sqrt(3), then ...
Text Solution
|
If "log"("cos"x) "tan" x + "log"("sin"x) "cot" x =0, then x =
Text Solution
|
The number of solutions of the equation x^("log"sqrt(x)^(2x)) =4 is
Text Solution
|
If "log"(sqrt(3))("sin" x + 2sqrt(2) "cos"x) ge 2, -2pi le x le 2 pi, ...
Text Solution
|
The least value of the expression 2(log)(10)x-(log)x(0, 01)dot for x >...
Text Solution
|
The number of zeroes coming immediately after the decimal point in the...
Text Solution
|
If log(1/sqrt2) sinx> 0 ,x in [0,4pi], then the number values of x wh...
Text Solution
|
The value of sum(r=1)^(89)log(10)(tan((pir)/180)) is equal to
Text Solution
|
If [x] denotes the greatest integer less than or equal to x, then ["lo...
Text Solution
|
If a(n) gt a(n-1) gt …. gt a(2) gt a(1) gt 1, then the value of "log"(...
Text Solution
|
If n=1999! then sum(x=1)^(1999) logn x=
Text Solution
|
Let a=(log)3(log)3 2. An integer k satisfying 1<2^(-k+3^((-a)))<2, mus...
Text Solution
|
If log(10) (x^3+y^3)-log(10) (x^2+y^2-xy) <=2 then the minimum value o...
Text Solution
|
The value of 6+ log(3//2) (1/(3sqrt2)sqrt(4-1/(3sqrt2)sqrt(4-1/(3sq...
Text Solution
|
If 3^x = 4^(x-1) then x can not be equal to
Text Solution
|
For the system of equation "log"(10) (x^(3)-x^(2)) = "log"(5)y^(2) ...
Text Solution
|