Home
Class 11
MATHS
If (21. 4)^a=(0. 00214)^b=100 , then the...

If `(21. 4)^a=(0. 00214)^b=100` , then the value of `1/a-1/b` is 0 (b) 1 (c) 2 (d) 4

Text Solution

AI Generated Solution

To solve the problem, we start with the equations given: \[ (21.4)^a = 100 \quad \text{and} \quad (0.00214)^b = 100 \] ### Step 1: Solve for \(a\) ...
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 sinA+sin^2A=1, then the value of cos^2A+cos^4A is (a)2 (b) 1 (c) -2 (d) 0

Let A B C be a triangle. Let A be the point (1,2),y=x be the perpendicular bisector of A B , and x-2y+1=0 be the angle bisector of /_C . If the equation of B C is given by a x+b y-5=0 , then the value of a+b is (a) 1 (b) 2 (c) 3 (d) 4

If y=tan^(-1)1/2+tan^(-1)b ,(0

If tanA=a/(a+1) and tanB=1/(2a+1) then the value of A+B is: (a). 0 (b). pi/2 (c). pi/3 (d). pi/4

If 49 a^2-b=(7a+1/2)\ \ (7a-1/2), then the value of b is =? (a) 0 (b) 1/4 (c) 1/(sqrt(2))\ (d) 1/2

If a+b+c=0a n da^2+b^2+c^2=1, then the value of a^4+b^4+c^4 is 1 b. 4 c. 1/2 d. 1/4

Let A=[(0,alpha),(0,0)] and (A+I)^(50)=50 A=[(a,b),(c,d)] Then the value of a+b+c+d is (A) 2 (B) 1 (C) 4 (D) none of these

A rod of fixed length k slides along the coordinates axes, If it meets the axes at A(a ,0)a n dB(0,b) , then the minimum value of (a+1/a)^2+(b+1/b)^2 (a) 0 (b) 8 (c) k^2+4+4/(k^2) (d) k^2+4+4/(k^2)

A=[(a,1,0),(1,b,d),(1,b,c)] then find the value of |A|

If A=[1-1 2-1] , B=[a1b-1] and (A+B)^2=A^2+B^2 , then values of a and b are a=4 , b=1 (b) a=1 , b=4 (c) a=0 , b=4 (d) a=2 , b=4

CENGAGE ENGLISH-LOGARITHM-All Questions
  1. If 2x^((log)4 3)+3^((log)4x)=27 , then x is equal to

    Text Solution

    |

  2. The value of loga b-log|b|= loga (b) "log"|a| (c) -loga (d) none o...

    Text Solution

    |

  3. If (21. 4)^a=(0. 00214)^b=100 , then the value of 1/a-1/b is 0 (b) 1 ...

    Text Solution

    |

  4. Given that log(2)=0. 3010 , the number of digits in the number 2000^(...

    Text Solution

    |

  5. The number of N=6-(6(log)(10)2+(log)(10)31) lies between two successi...

    Text Solution

    |

  6. (log)4 18 is a rational number (b) an irrational number (c)a prime n...

    Text Solution

    |

  7. Solve: (log)((2x+3))(6x^2+23x+21)+(log)((3x+7))(4x^2+12 x+9)=4

    Text Solution

    |

  8. Given aa n db are positive numbers satisfying 4(log(10)a)^2+((log)2b)...

    Text Solution

    |

  9. If ((log)a N)/((log)c N)=((log)a N-(log)b N)/((log)b N-(log)c N),w h e...

    Text Solution

    |

  10. If (log)b a(log)c a+(log)a b(log)c b+(log)a c(log)bc=3 (where a , b ,...

    Text Solution

    |

  11. Solve for: x :(2x)^((log)b2)=(3x)^((log)b3) .

    Text Solution

    |

  12. Let a=(log)3(log)3 2. An integer k satisfying 1<2^(-k+3^((-a)))<2, mus...

    Text Solution

    |

  13. The value of 6+(log)(3/2)[1/(3sqrt(2)) * sqrt{ (4 - 1/(3sqrt(2))) sqrt...

    Text Solution

    |

  14. (log)(x-1)x (log)(x-2)(x-1) .....(log)(x-12)(x-11)=2,x is equal to: 9...

    Text Solution

    |

  15. If a , b , c are consecutive positive integers and (log(1+a c)=2K , th...

    Text Solution

    |

  16. If (a+(log)4 3)/(a+(log)2 3)=(a+(log)8 3)/(a+(log)4 3)=b ,then b is eq...

    Text Solution

    |

  17. If p >1 and q >1 are such that log(p+q)=logp+logq ,then the value of l...

    Text Solution

    |

  18. The value of (1+2(log)3 2)/((1+(log)3 2)^2)+((log)6 2)^2 is 2 (b) 3 ...

    Text Solution

    |

  19. If (log)4 5=aa n d(log)5 6=b , then (log)3 2 is equal to 1/(2a+1) (b)...

    Text Solution

    |

  20. If (log)(10)2=a ,(log)(10)3=bt h e n(log)(0. 72)(9. 6) in terms of a a...

    Text Solution

    |