Home
Class 11
MATHS
Arrange (log)2 5,(log)(0. 5)5,(log)7 5,(...

Arrange `(log)_2 5,(log)_(0. 5)5,(log)_7 5,(log)_3 5` in decreasing order.

Text Solution

AI Generated Solution

To arrange the logarithms \( \log_2 5, \log_{0.5} 5, \log_7 5, \log_3 5 \) in decreasing order, we will analyze each logarithm step by step. ### Step 1: Analyze \( \log_2 5 \) Let \( x = \log_2 5 \). By the definition of logarithms, we have: \[ 2^x = 5 \] ...
Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUALITIES

    CENGAGE ENGLISH|Exercise All Questions|68 Videos
  • PERMUTATIONS AND COMBINATIONS

    CENGAGE ENGLISH|Exercise All Questions|444 Videos

Similar Questions

Explore conceptually related problems

(log)_(0. 5)(3-x)/(x+2)<0

Simplify: 2^((log)_3 5)-5^((log)_3 2)

Which of the following are correct? a. (log)_3 19.(log)_(1//7)3.(log)_4 1/7>2 b. (log)_5(1//23) lies between -2 &-1 c. \ If m=4^((log)_4 7)a n d\ n=(1/9)^(-(log)_3 7)t h e n\ n=m^4 d. (log)_(sqrt(5))sin(pi/5)dot(log)_(sqrt(sin(pi/5)))5 simplifies to an irrational number

a=log_5 3+log_7 5+log_9 7

The value of N=((log)_5 250)/((log)_(50)5)-((log)_5 10)/((log)_(1250)5) is...........

The value of N=((log)_5 250)/((log)_(50)5)-((log)_5 10)/((log)_(1250)5) is...........

Which of the following numbers are positive/negative? (log)_2 7 (ii) (log)_(0. 2)3 (iii) (log)_(1//3)(1/5) (iv) (log)_4 3 (v) (log)_2((log)_2 9)

If (log)_3 2,(log)_3(2^x-5) and (log)_3(2^x-7/2) are in arithmetic progression, determine the value of xdot

Solve: (log)_(0. 5)(3-x)/(x+2)<0

Find the value of ((log)_3 4)((log)_4 5)((log)_5 6)((log)_6 7)((log)_7 8)((log)_8 9)dot

CENGAGE ENGLISH-LOGARITHM-All Questions
  1. Find the value of (log)(2sqrt(3))1728.

    Text Solution

    |

  2. Prove that 1/3<(log)(10)3<1/2dot

    Text Solution

    |

  3. Arrange (log)2 5,(log)(0. 5)5,(log)7 5,(log)3 5 in decreasing order.

    Text Solution

    |

  4. If 3^x=4^(x-1) , then x= (2(log)3 2)/(2(log)3 2-1) (b) 2/(2-(log)2 3...

    Text Solution

    |

  5. Solve: |x-3|^(3x^2-10 x+3)=1

    Text Solution

    |

  6. Find the smallest integral value of x satisfying (x-2)^(x^2-6x+8))&gt...

    Text Solution

    |

  7. The least value of the expression 2(log)(10)x-(log)x(0.01)dot for x &...

    Text Solution

    |

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

    Text Solution

    |

  9. Let (x0, y0) be the solution of the following equations: (2x)^(1n2)=(3...

    Text Solution

    |

  10. If In(a+c),ln(a-c),ln(a-2b+c) are in AdotPdot, then a , b , c ,a r ...

    Text Solution

    |

  11. Prove that number (log)2 7 is an irrational number.

    Text Solution

    |

  12. Which of the following numbers are positive/negative? (log)2 7 (ii) (...

    Text Solution

    |

  13. If (log)3 2,(log)3(2^x-5)a n d(log)3(2^x-7/2) are in arithmetic progre...

    Text Solution

    |

  14. Solve x^((log)y x)=2a n dy^((log)x y)=16

    Text Solution

    |

  15. Solve (log)(2x)2+(log)4 2x=-3//2.

    Text Solution

    |

  16. If ageqb >1, then find the largest possible value of the expression (l...

    Text Solution

    |

  17. Solve : 3^((log9 x))xx2 = 3sqrt(3)

    Text Solution

    |

  18. Solve the inequality sqrt((log)2((2x-3)/(x-1)))<1

    Text Solution

    |

  19. Find the number of solutions of equation 2^x+3^x+4^x-5^x=0

    Text Solution

    |

  20. If y=a^(1/(1-(log)a x)) and z=a^(1/(1-(log)a y)),then prove that x=a^...

    Text Solution

    |