Home
Class 12
MATHS
If (log)c 2.(log)b 625=(log)(10)16.(log)...

If `(log)_c 2.(log)_b 625=(log)_(10)16.(log)_c 10\ w h e r e\ c >0; c!=1; b >1; b!=1` determine `b-` a.`\ 25` b. `5` c.`\ 625` d. `16`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

"If" ("log"_(10)a)/(2) = ("log"_(10)b)/(3) = ("log"_(10)c)/(5) , then bc =

if a ,b ,c are in G.P.,then (log)_a 10 ,(log)_b10,(log)_c 10 are in____

If (log)_a b=2,(log)_b c=2,a n d(log)_3c=3+(log)_3a , then the value of c//(a b) is............

If a^x=b , b^y=c ,c^z=a and x=(log)_b a^2; y=(log)_c b^3& z=(log)_a c^k , where a,b, c >0 & a , b , c!=1 then k is equal to a. 1/5 b. 1/6 c. (log)_(64)2 d. (log)_(32)2

If (log)_(10)[1/(2^x+x-1)]=x[(log)_(10)5-1] , then x= 4 (b) 3 (c) 2 (d) 1

If (log)_(10)[1/(2^x+x-1)]=x[(log)_(10)5-1] , then x= 4 (b) 3 (c) 2 (d) 1

If (log)_a b=2,(log)_b c=2a n dlog_3c=(log)_3a+3,t h e n(a+b+c) is equal to 93 b. 102 c. 90 d. 243

log_(2)a = 3, log_(3)b = 2, log_(4) c = 1 Find the value of 3a + 2b - 10c

If ((log)_a N)/((log)_c N)=((log)_a N-(log)_b N)/((log)_b N-(log)_c N),w h e r eN >0a n dN!=1, a , b , c >0 and not equal to 1, then prove that b^2=a c

Simplify: 1/(1+(log)_a b c)+1/(1+(log)_b c a)+1/(1+(log)_c a b)

ALLEN-LOGARITHMS-All Questions
  1. The equation (log)2(2x^2)+(log)2xdotx^((log)x((log)2x+1))+1/2log4 2(x^...

    Text Solution

    |

  2. Given system of simultaneous equations 2^x\ . 5^y=1\ a n d\ 5^(x+1). 2...

    Text Solution

    |

  3. If (log)c 2.(log)b 625=(log)(10)16.(log)c 10\ w h e r e\ c >0; c!=1; b...

    Text Solution

    |

  4. Number of ciphers after decimal before a significant figure comes i...

    Text Solution

    |

  5. Which of the following when simplified reduces to an integer? a.(2l...

    Text Solution

    |

  6. The equation ((log)8(8/(x^2)))/(((log)8x^2))=3 has- a.\ no integra...

    Text Solution

    |

  7. Which of the following when simplified, vanishes? a.1/((log)3 2)+2/((...

    Text Solution

    |

  8. The number N=(1+2log(3)2)/((1+log(3)2)^(2))+(log(6)2)^(2) when simplif...

    Text Solution

    |

  9. Which of the following are correct? a.(log)3 19.(log)(1//7)3.(log)4 1...

    Text Solution

    |

  10. If p , q in N satisfy the equation x^sqrt(x)=(sqrt(x))^x, then p a n ...

    Text Solution

    |

  11. The expression logp.logp(((p)^(1/p))^(1/p)........n time)^(1/p) where ...

    Text Solution

    |

  12. Which of the following numbers are positive? a.(log)(log3 2)(1/2) b. ...

    Text Solution

    |

  13. lf logpq+logq r +logr p vanishes where p, q and r are positive reals d...

    Text Solution

    |

  14. The solution set of the system of equations log12 x(1/(logx 2)+log2 y)...

    Text Solution

    |

  15. If a^x=b , b^y=c ,c^z=a and x=(log)b a^2; y=(log)c b^3& z=(log)a c^k ...

    Text Solution

    |

  16. If (log)k xdot(log)5k=(log)x5,k!=1,k >0, then x is equal to k (b) 1/5...

    Text Solution

    |

  17. If x^3//4((log)3x)^(2+(log)3x-5//4)=3,\ t h e n\ x has- a. one positiv...

    Text Solution

    |

  18. ((log)(10)(x-3))/((log)(10)(x^2-21))=1/2then find x.

    Text Solution

    |

  19. x^((log2 x)+4)=32 then find x.

    Text Solution

    |

  20. where the base of logarithm is ?

    Text Solution

    |