Home
Class 12
MATHS
If (log)kx . (log)5k=(log)x5,k!=1,k >0, ...

If `(log)_kx . (log)_5k=(log)_x5,k!=1,k >0,` then `x` is equal to `k`
(a) `k` (b) `1/5` (c) `5` (d) none of these

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If log_lamdax.log_5lamda=log_x5,lamda ne1,lamdagt0 , then x is equal to

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 and a , b , c!=1 then k is equal to a. 1/5 b. 1/6 c. (log)_(64)2 d. (log)_(32)2

Value of [2/((log)_4(2000)^6)+3/((log)_5(2000)^6)] is a. 4^(1/3). 5^(1/2) b. 1/6 c. 3 3 d. none of these

If log_(4)5 = x and log_(5)6 = y then

The value of expression, (log)_4((x^2)/4)-2(log)_4(4x^4) when x=-2 is (a) -6 (b) -5 (c) -4 (d) meaningless

The number of solutions of (log)_4(x-1)=(log)_2(x-3) is (2001, 2M) (a) 3 (b)1 (c) 2 (d) 0

Value of x satifying (log)_(10)sqrt(1+x)+3(log)_(10)sqrt(1-x)=(log)_(10)sqrt(1-x^2)+2 is a. 0ltxlt1 b. -1ltxlt1 c. -1ltxlt0 d. None of this

If x=1+(log)_a b c , y=1+(log)_b c a and z=1+(log)_c a b , then prove that x y z=x y+y z+z x

Solve for x :5^(logx)+5x^(log5)=3(a >0); where base of log is a

Let f(x)=x+2|x+1|+2|x-1| .If f(x)=k has exactly one real solution, then the value of k is (a) 3 (b)0 (c) 1 (d) 2

ALLEN -LOGARITHMS-All Questions
  1. The value of 7log(16/15)+5log(25/24)+3log(81/80)=

    Text Solution

    |

  2. If a^2+b^2=23 a b , then prove that log((a+b))/5=1/2(loga+logb)dot

    Text Solution

    |

  3. If (log)kx . (log)5k=(log)x5,k!=1,k >0, then x is equal to k (a) k ...

    Text Solution

    |

  4. If log(a)b +log(b)c = +log(c) a vanishes where a,b and c are positive ...

    Text Solution

    |

  5. Evaluate : 3(40)^(1/3)-4 (320)^(1/3)-(5)^(1/3)

    Text Solution

    |

  6. If ||x-1|-2|=5 then find x

    Text Solution

    |

  7. If |x-1|+|x+1|=2, then find x.

    Text Solution

    |

  8. Solve the equation |x-1|+|7-x|+2|x-2|=4

    Text Solution

    |

  9. Prove that sqrt (7) is an irrational number.

    Text Solution

    |

  10. If in a right angled triangle, a\ a n d\ b are the lengths of sides ...

    Text Solution

    |

  11. Solve : (log)((2"x"-1))\ ((x^4+2)/(2x+1))\ =1

    Text Solution

    |

  12. 1/((log)(sqrt(b c))a b c)+1/((log)(sqrt(c a))a b c)+1/((log)(sqrt(a b)...

    Text Solution

    |

  13. The ratio (2^(log(2)a^4)-3^(log(27)(a^2+1)^3)-2a)/((7^(4log(49)a)-a-1)...

    Text Solution

    |

  14. The value of expression, (log)4((x^2)/4)-2(log)4(4x^4) when x=-2 is ...

    Text Solution

    |

  15. If 1/a+1/b+1/c = 1/(a+b+c) then (a+b)(b+c)(c+a)=....... a.a b c ...

    Text Solution

    |

  16. Which one of the following denotes the greatest positive proper frac...

    Text Solution

    |

  17. If p=s/((1+k)^n),\ t h e n\ n\ equals a.logs/(p(1+k)) b. (log(s/p)...

    Text Solution

    |

  18. Value of x satifying (log)(10)sqrt(1+x)+3(log)(10)sqrt(1-x)=(log)(10)s...

    Text Solution

    |

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

    Text Solution

    |

  20. The value of N satisfying (log)a[1+(log)b\ {1+(log)c(1+(log)p N)}]=0 i...

    Text Solution

    |