Home
Class 11
MATHS
If x^((3)/(2)("log"(2) x-3)) = (1)/(8), ...

If `x^((3)/(2)("log"_(2) x-3)) = (1)/(8)`, then x equals to

A

2

B

3

C

5

D

6

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • LOGARITHMS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|66 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 "log"_(8){"log"_(2) "log"_(3) (x^(2) -4x +85)} = (1)/(3) , then x equals to

If "log"_(x+2) (x^(3)-3x^(2)-6x +8) =3 , then x equals to

If 3 +"log"_(5)x = 2"log"_(25) y , then x equals to

If 5^(3x^(2)"log"_(10)2) = 2^((x + (1)/(2))"log"_(10) 25) , then x equals to

If y = 2^(1//"log"_(x)8) , then x equal to

If log_(9)x +log_(4)y = (7)/(2) and log_(9) x - log_(8)y =- (3)/(2) , then x +y equals

If 3^(x+1)=6^(log_(2)3) , then x is equal to

If 2x^(log_(4)3)+3^(log_(4)x)= 27 , then x is equal to

Match the column Column I, Column II If x=3,t h e n(log)_4(2(log)_3(1+(log)_2(1+3Log_3x))) is equal to, p. 3 If x=100 , then 3^((log)_3logsqrt(x))-logx+log^2x is equal to, q. 1 If one of the root of the equation 2((log)_xsqrt(5))^2-3(log)_x(a)+1=0 is sqrt(5) , then the other root is, r. 1/2 If (log)_2(4. 3^x-6)-(log)_2(9^x-6)=1, then x is equal to, s. 5

If the 6th term in the expansion of (1/(x^(8/3))+x^2(log)_(10)x)^8 is 5600, then x equals 1 b. (log)_e 10 c. 10 d. x does not exist

OBJECTIVE RD SHARMA ENGLISH-LOGARITHMS-Chapter Test
  1. If x^((3)/(2)("log"(2) x-3)) = (1)/(8), then x equals to

    Text Solution

    |

  2. If "log"(4)(3x^(2) +11x) gt 1, then x lies in the interval

    Text Solution

    |

  3. If "log"(6) (x+3)-"log"(6)x = 2, then x =

    Text Solution

    |

  4. If 2^(x).9^(2x+3) = 7^(x+5), then x =

    Text Solution

    |

  5. The solution of the equation (log)7(log)5(sqrt(x+5)+sqrt(x)=0 is...

    Text Solution

    |

  6. If "log"(6) {"log"(4)(sqrt(x+4) + sqrt(x))} =0, then x =

    Text Solution

    |

  7. If x^("log"(x)(x^(2)-4x +5)) = (x-1), then x =

    Text Solution

    |

  8. If "log"(3) {"log"(6)((x^(2) +x)/(x-1))} =0 then x =

    Text Solution

    |

  9. If "log"(8){"log"(2) "log"(3) (x^(2) -4x +85)} = (1)/(3), then x equal...

    Text Solution

    |

  10. If x = "log"(2) 3 " and " y = "log"(1//2) 5, then

    Text Solution

    |

  11. If "log"(x+2) (x^(3)-3x^(2)-6x +8) =3, then x equals to

    Text Solution

    |

  12. If (2.3)^x=(0.23)^y=1000, then find the value of 1/x-1/y.

    Text Solution

    |

  13. If 10^(x-1) + 10^(-x-1) = (1)/(3), then x equals to

    Text Solution

    |

  14. (log)2(log)2(log)3(log)3 27^3 is 0 b. 1 c. 2 d.\ 3

    Text Solution

    |

  15. If 2"log"(8) a =x, "log"(2) 2a = y " and " y-x =4, then x =

    Text Solution

    |

  16. If "log"(10) x =y, " then log"(10^(3))x^(2) equals

    Text Solution

    |

  17. If "log"(3) x xx "log"(x) 2x xx "log"(2x)y ="log"(x) x^(2), then y equ...

    Text Solution

    |

  18. The number of solutions of "log"(2) (x-1) = 2 "log"(2) (x-3) is

    Text Solution

    |

  19. If (1)/("log"(3) pi) + (1)/("log"(4) pi) gt x, then the greatest integ...

    Text Solution

    |

  20. Let x in(1,oo) and n be a positive integer greater than 1. If fn (x) =...

    Text Solution

    |