Home
Class 12
MATHS
Solve 4log(x//2)(sqrt(x))+ 2 log(4x)(x^...

Solve `4log_(x//2)(sqrt(x))+ 2 log_(4x)(x^(2)) = 3log_(2x)(x^(3))`.

A

0

B

1

C

2

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise Level -2 (Numerical Value Type for JEE Main)|14 Videos

  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise JEE MAIN (ARCHIVE)|13 Videos

  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise Level -1|71 Videos

  • DIFFERENTIAL EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCE (ARCHIVE )|32 Videos

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|103 Videos

Similar Questions

Explore conceptually related problems

Solve: 4(log)_(x/2)(sqrt(x))+2(log)_(4x)(x^2)=3(log)_(2x)(x^3)dot

Find the integral solutions of the equation 4(log)_(x//2)(x)+2(log)_(4"x")(x^2)=3(log)_(2"x")(x^3)

Solve log_(4)(x-1)= log_(2) (x-3) .

If log_(sqrt(2)) sqrt(x) +log_(2)(x) + log_(4) (x^(2)) + log_(8)(x^(3)) + log_(16)(x^(4)) = 40 then x is equal to-

Solve for x: log_(sqrt3) (x+1) = 2

Solve log_(3x -2) x^(2) gt log _(3x-2) (3x -2)

Solve log_(2)((4)/(x+3))>log_(2)(2-x)

Solve : log_(2)(4-x)=4-log_(2)(-2-x)

Solve (log)_x2(log)_(2x)2=(log)_(4x)2.

Solve 1/4 x ^(log_(2)sqrtx)=(2*x^(log_(2)x))^(1/4).

VMC MODULES ENGLISH-FUNCTIONS-Level -2
  1. Let f(x)=sec^(-1)[1+cos^(2)x], where [.] denotes the greatest integer ...

    Text Solution

    |

  2. If T(1) is the period of the function f(x)=e^(3x-[x]) and T(2) is the ...

    Text Solution

    |

  3. If f(x)=(4^(x))/(4^(x)+2)," then "f(1/(97))+f((2)/(97))+...+f((96)/(97...

    Text Solution

    |

  4. Domain of the function f(x) = log(sqrt(x-4)+sqrt(6-x))

    Text Solution

    |

  5. If logax=alphalogbx,beta,logc x=gamma and logd x=delta ,xne1 and a,b,...

    Text Solution

    |

  6. If f(x) = log ((1+x)/(1-x)), where -1 lt x lt 1 then f((3x+x^(3))/(1+3...

    Text Solution

    |

  7. Find the period of the real-valued function satisfying f(x)+f(x+4)=f(x...

    Text Solution

    |

  8. If f: R->(-1,\ 1) is defined by f(x)=(-x|x|)/(1+x^2) , then f^(-1)(x) ...

    Text Solution

    |

  9. Solve 4log(x//2)(sqrt(x))+ 2 log(4x)(x^(2)) = 3log(2x)(x^(3)).

    Text Solution

    |

  10. The domain of function f (x) = log ([x+(1)/(2)])(2x ^(2) + x-1), whe...

    Text Solution

    |

  11. Find the range of y=|x-5|/(x-5)

    Text Solution

    |

  12. The function f(x)=sqrt(cos(sinx))+sin^-1((1+x^2)/(2x)) is defined for ...

    Text Solution

    |

  13. Draw the graph for y=({x}-1)^(2).

    Text Solution

    |

  14. The domain of the function f(x)=(sec^(-1)x)/(sqrt(x-[x])) , where [x] ...

    Text Solution

    |

  15. The domain of definition of the function f(x)=log(2)[-(log(2)x)^(2)+5...

    Text Solution

    |

  16. The function f(x) = sec[log(x + sqrt(1+x^2))] is

    Text Solution

    |

  17. Let f(x+y)+f(x-y)=2f(x)f(y) AA x,y in R and f(0)=k, then

    Text Solution

    |

  18. Let f be a real valued function such that for any real x f(15+x)=f(15-...

    Text Solution

    |

  19. The value of int(-20pi)^(20 pi) |sin x| [ sin x] dx is (where [.] de...

    Text Solution

    |

  20. Statement 1 : Let f : r-{3} be a function given by , f(x+10)=(f(x)-5)...

    Text Solution

    |