Home
Class 11
MATHS
If (log)a x=b for permissible values of...

If `(log)_a x=b` for permissible values of `a` and `x ,` then identify the statement(s) which can be correct. (a)If `a` and `b` are two irrational numbers, then `x` can be rational. (b)If `a` is rational and `b` is irrational, then `x` can be rational. (c)If `a` is irrational and `b` is rational, then `x` can be rational. (d)if `aa n d b` are rational, then `x` can be rational.

Text Solution

AI Generated Solution

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

if (log)_a x=b for permissible values of a and x then identify the statements which can be correct. (a) If a and b are two irrational numbers then x can be rational (b) if a is rational and b is irrational, then x can be rational (c) if a is irrational and b is rational, then x can be rational (d) If a and b are two rational numbers then x can be rational .

If (log)_a x=b for permissible values of aa n dx , then identify the statement(s) which can be correct. If aa n db are two irrational numbers, then x can be rational. If a is rational and b is irrational, then x can be rational. If a is irrational and b is rational, then x can be rational. If aa n d b are rational, then x can be rational.

Give an example of two irrational numbers whose sum is rational

If f(x)={x ,x is rational 1-x ,x is irrational ,then f(f(x)) is

Give examples of two irrational numbers the product of which is: a rational number (ii) an irrational number

If in DeltaABC, angle A=90^(@) and c, sin B cos B are rational numbers, then show a and b are rational .

Which of the following statements is true? product of two irrational numbers is always irrational Product of a rational and an irrational number is always irrational Sum of two irrational numbers can never be irrational Sum of an integer and a rational number can never be an integer

Let x and y be rational and irrational numbers , respectively. Is x+y necessarily an irrational number ?

If in DeltaABC, A =90^(@) and c, sin B and cos B are rational number, then

Write the truth value of statement 2 is a rational number and root2 is an irrational number.

CENGAGE ENGLISH-LOGARITHM-All Questions
  1. The x , y , z are positive real numbers such that (log)(2x)z=3,(log)(5...

    Text Solution

    |

  2. Which of the following, when simplified, reduces to unity? (a) (log)(...

    Text Solution

    |

  3. If (log)a x=b for permissible values of a and x , then identify the ...

    Text Solution

    |

  4. The number of positive integers satisfying x+(log)(10)(2^x+1)=x(log)(1...

    Text Solution

    |

  5. Solve: (1/2)^(log^(10a^2))+2>3/(2^((log)(10)(-a)))

    Text Solution

    |

  6. Write the characteristic of each of the following numbers by using ...

    Text Solution

    |

  7. Solve: (log)(0. 1)((log)2((x^2+1)/(x-1))<0

    Text Solution

    |

  8. Solve: (x-1)/((log)3(9-3^x)-3)lt=1.

    Text Solution

    |

  9. Find the mantissa of the logarithm of the number 0.002359

    Text Solution

    |

  10. Use the logarithm tables to find the logarithm of the following number...

    Text Solution

    |

  11. Write the significant digits in each of the following numbers to co...

    Text Solution

    |

  12. Find the mantissa of the logarithm of the number 5395

    Text Solution

    |

  13. Find the antilogarithm of each of the following: 2.7523      (ii)  3.7...

    Text Solution

    |

  14. Evaluate (72.3)^(1/3) iflog0. 723= 1. 8591.

    Text Solution

    |

  15. Integral value of x which satisfies the equation =log6 54+(log)x 16=(l...

    Text Solution

    |

  16. If (log)4A=(log)6B=(log)9(A+B),t h e n [4(B/A)] (where [ ] represent...

    Text Solution

    |

  17. The value of (log(10)2)^3+log(10)8log(10)5+(log(10)5)^3 is ..............

    Text Solution

    |

  18. If (log)a b=2,(log)b c=2, and (log)3c=3+(log)3a , then the value of c/...

    Text Solution

    |

  19. The inequality sqrt(x^((log)2sqrt(x)))geq2 is satisfied by (A) only ...

    Text Solution

    |

  20. The value of (6a^((log)e b)((log)(a^2)b)((log)(b^2)a)/(e^((log)e a(log...

    Text Solution

    |