Home
Class 14
MATHS
If 1/3log(3)M+3log(3)N=1+log(0.008)5, th...

If `1/3log_(3)M+3log_(3)N=1+log_(0.008)5`, then

A

`M^(9)=(9)/(N)`

B

`N^(9)=(9)/(M)`

C

`M^(3)=(3)/(N)`

D

`N^(9)=(3)/(M)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LOGARITHMS

    DISHA PUBLICATION|Exercise Test Yourself |15 Videos
  • LOGARITHMS

    DISHA PUBLICATION|Exercise Practice Exercises (Standard Level)|43 Videos
  • LINEAR EQUATIONS

    DISHA PUBLICATION|Exercise TEST YOUSELF|15 Videos
  • MENSURATION

    DISHA PUBLICATION|Exercise TEST YOURSELF|15 Videos

Similar Questions

Explore conceptually related problems

If (1)/(3)log_(3)M+3log_(3)N=1+log_(0.008)5, then M^(9)=(9)/(N)(b)N^(9)=(9)/(M)M^(3)=(3)/(N)(d)N^(9)=(3)/(M)

If (1)/(3)log_(3)M+3log_(3)N=1+log_(0.008)5, then M^(9)(9)/(N) b.N^(9)=(9)/(M) c.M^(3)=(3)/(N) d.N^(9)=(3)/(M)

(1)/(3)log_(3)M+3log_(3)N=1+log_(0)*0085

log_(2)log_(3)log_(4)(x-1)>0

If log_(5) log_(5) log_(3) x = 0 , then value of x is

If log_(5)[log_(3)(log_(2)x)]=1 then x is

If log_(5)[log_(3)(log_(2)x)]=1 , then x is:

(log_(2)3)(log_(1/3)5)(log_(4)6)<1

If A=((log_(3)1-log_(3)4)(log_(3)9-log_(3)2))/((log_(3)1-log_(3)9)(log_(3)8-log_(3)4)) then find the value of 2(3^(A))

If x = log_((1)/(2)).(4)/(3).log_(2).(1)/(3). log_((2)/(3)) 0.8 , then ______.

DISHA PUBLICATION-LOGARITHMS-Practice Exercises (Expert Level)
  1. If log (0.57) = 0. 756 then the value of log 57 + log (0.57)^(3) + log...

    Text Solution

    |

  2. If log(2)[log(7)(x^(2)-x+37)]=1, , then what could be the value of x ?

    Text Solution

    |

  3. If 1/3log(3)M+3log(3)N=1+log(0.008)5, then

    Text Solution

    |

  4. If log(3)2,log(3)(2^(x)-5),log(3)(2^(x)-7/2) are in arithmetic progre...

    Text Solution

    |

  5. If xgey and ygt1, then the value of the expression log(x)(x/y)+log(y)...

    Text Solution

    |

  6. If log(y)x=(a.log(z)y)=(b.log(x)z)=ab, then which of the following pai...

    Text Solution

    |

  7. What is the value of (log(sqrt(alphabeta))(H))/(log(alphabeta)(beta))

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. If u = v^(2) = w^(2) =z^(4), then log(u)(uvwz), is equal to

    Text Solution

    |

  11. The first term and the last term of a GP are a and k respectively. If ...

    Text Solution

    |

  12. If y=a^(((1)/(1-log(a)x)))" and "z=a^(((1)/(1-log(a)y))), then x is eq...

    Text Solution

    |

  13. Solve the following equation for x and y log(100)|x+y| = 1/2, log(10...

    Text Solution

    |

  14. The greatest possible value of n could be if 9^(n)lt10^(8), given tha...

    Text Solution

    |

  15. Find the solution set of x, for the given inequality log(m)ngt1, where...

    Text Solution

    |

  16. The equation x^(3/4(log(2)x)^(2)+log(2)x-5/4)=sqrt(2) has

    Text Solution

    |

  17. If log(1/2) ((x^2+6x+9)/(2(x+1)) )< - log2(x+1) then complete set of v...

    Text Solution

    |

  18. What is the value of x in the following expansion ? 1-log(10)5=1/3(...

    Text Solution

    |

  19. If log(0.04)(x-1)gelog(0.2)(x-1) then x belongs to the interval

    Text Solution

    |

  20. If log(10)3=x and log(30)5=y, then log(30)8 is equal to

    Text Solution

    |