Home
Class 14
MATHS
log(10) a^(p).b^(q).c^( r)=?...

`log_(10) a^(p).b^(q).c^( r)`=?

A

pqr `(log_(10) abc)`

B

`p log_(10) a + q log_(10)b + r log_(10)c`

C

`pqr(log_(10)a + log_(10)b + log_(10)c)`

D

`(log_(10)a)^(P) + (log_(10)b)^(q) + (log_(10)c)^(z)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM

    ARIHANT SSC|Exercise EXERCISE LEVEL 1|50 Videos

  • LOGARITHM

    ARIHANT SSC|Exercise EXERCISE LEVEL 2|19 Videos

  • LOGARITHM

    ARIHANT SSC|Exercise EXERCISE LEVEL 2|19 Videos

  • LINEAR EQUATIONS

    ARIHANT SSC|Exercise Higher Skill Level Questions|7 Videos

  • MENSURATION

    ARIHANT SSC|Exercise TEST OF YOUR LEARNING|18 Videos

Similar Questions

Explore conceptually related problems

If log_(10) a= p and log_(10) b = q, then what is log_(10) (a^(p)b^(q)) equal to ?

(b) If (log a)/(q-r)=(log b)/(r-p)=(log c)/(p-q) , prove that a^(p)b^(q)c^(r)=1

If (log a)/(q-r)=(log b)/(r-p)=(log c)/(p-q) prove that a^(p)b^(q)c^(r)=1

If the p^(th), q^(th) and r^(th) terms of a G.P are a,b,c respectively then the value of a^(q-r).b^(r-p).c^(p-q)=

If a=xy^(p-1),b=yz^(q-1),c=zx^(r-1) , then a^(q-r)b^(r-p)c^(p-q) is equal to

10^(log_(p)(log_(q)(log_(r)x)))=1 and log_(q)(log_(r)(log_(p)x))=0 then p equals to:

(iii) If a,bc are respectively the pth,qth and rth terms of the given G.P. then show that (q-r)log a+(r-p)log b+(p-q)log c=0, where a,b,c>0.

If (log x)/(q-r)=(log y)/(r-p)=(log z)/(p-q) prove that x^(q+r)*y^(r+p)*z^(p+q)=x^(p)*y^(q).z^(r)

If log_(p)q+log_(q)r+log_(r)p vanishes where p,q and r are positive reals different than unity then the value ol (log_(p)q)^(3)+(log q_(r))^(3)+(log r_(p))^(3) is a) an odd prime b)an even prime c)an odd coposite d) an irrational number

If log_(8)p=25backslash and log_(2)q=5, then a.p=q^(15) b.p^(2)=q^(3) c.p=q^(5) d.p^(3)=q

ARIHANT SSC-LOGARITHM -INTRODUCTORY EXERCISE- 16.1
  1. if log(10)x = 1.9675, then the value of log(10)(100x) is:

    Text Solution

    |

  2. If 5^(x) = (0.5)^(y) = 1000, then the value of (1/x - 1/y) is:

    Text Solution

    |

  3. If 1/2 log x + 1/2 log y + log2 = log(x+y), then:

    Text Solution

    |

  4. If p = log(3)5 and q= log(17) 25 which one of the following is correct...

    Text Solution

    |

  5. If x^(2) + 4y^(2) =12 xy, then log (x+2y) is equal to

    Text Solution

    |

  6. The value of (2^(log3^(7) - 7^(log (3)2))) is

    Text Solution

    |

  7. 1/(log(2)a) + 1/(log(4)a) + 1/(log(8)a)+….. To n terms =(n(n+1))/k, th...

    Text Solution

    |

  8. The value of (log tan 1^(@) + log tan 2^(@)+……. + log tan 89^(@)) is

    Text Solution

    |

  9. The value of x for which log(9)x - log(9) (x/10 + 1/9) is:

    Text Solution

    |

  10. If (x^(4) - 2x^(2)y^(2) + y^(4))^(a-1) =(x-y)^(2a) (x+y)^(-2), then th...

    Text Solution

    |

  11. log(2)7 is:

    Text Solution

    |

  12. log(y)x=?

    Text Solution

    |

  13. The value of log(10)2 + 16 log(10)(16/15) + 12 log(10)(25/24) + 7 log(...

    Text Solution

    |

  14. if log(10)x=a, log(10)y=b and log(10)z=c, then antilog (pa + qb - rc)=...

    Text Solution

    |

  15. log(10) a^(p).b^(q).c^( r)=?

    Text Solution

    |

  16. If a,b,c are in GP then log(10)a, log(10)b, log(10)c are in

    Text Solution

    |

  17. If log(10)x, log(10)y, log(10)z are in AP, then x,y,z are in:

    Text Solution

    |

  18. If a,b,c are in GP then 1/(log(a)x), 1/(log(b)x), 1/(log( c)x) are in:

    Text Solution

    |

  19. if log(x-1) + log(x+1) = 3 log2, then x is equal to:

    Text Solution

    |

  20. If a,b,c are three consecutive integers, then log(ac+1) has the value:

    Text Solution

    |