Home
Class 12
MATHS
The real value of x for which the statem...

The real value of x for which the statement `log_(10)X-log_(10)(2x-75)=2` is

A

`1//2`

B

`1//4`

C

`1//8`

D

`1//16`

Text Solution

Verified by Experts

The correct Answer is:
C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The value of p in R for which the equation sin^(-1)((log_(10)x)^(2)-2log_(10)x+2)+tan^(-1)((log_(10)x)^(2)-2log_(10)x+2)+cos^(-1)((log_(10)x)^(2)-2(log_(10)x))=p possess solution is

Find the value of x which satisfies the relation log_(10)3+log_(10)(4x+1)=log_(10)(x+1)+1

Knowledge Check

  • The value of x satisfying the equation 2log_(10)x - log_(10) (2x-75) = 2 is

    A
    150
    B
    50
    C
    200
    D
    250
  • The sum of all the solutions to the equations 2log_(10)x-log_(10)(2x-75)=2

    A
    30
    B
    350
    C
    75
    D
    200
  • If log_(10)x+log_(10)y=2, x-y=15 then :

    A
    `(x, y)` lies on the line `y=4x+3`
    B
    `(x, y)` lies on `y^(2)=4x`
    C
    `(x,y)` lies on `x=4y`
    D
    `(x,y)` lies on `4x=y`
  • Similar Questions

    Explore conceptually related problems

    The sum of all the solutions to the equation 2log_(10)x-log_(10)(2x-75)=2 a.30 b.350c .75d.200

    The number of real solution of the equation log_(10)(7x-9)^(2)+log_(10)(3x-4)^(2)=2 is

    The number of real values of x satisfying the equation log_(10) sqrt(1+x)+3log_(10) sqrt(1-x)=2+log_(10) sqrt(1-x^(2)) is :

    Find the real solution to the system of equation log_(10)(2000xy)-log_(10)x*log_(10)y=4,log_(10)(2yz)-log_(10)y*log_(10)z=1 and log_(10)(2x)-log_(10)x*log_(10)x=

    Complete set of real values of x for which log_((2x-3))(x^(2)-5x-6) is defined is :