Home
Class 12
MATHS
The value of 3^((log)4 5)-5^((log)4 3) i...

The value of `3^((log)_4 5)-5^((log)_4 3)` is

A

0

B

1

C

2

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A

Using property,
`3^(log_(4)5)=5^(log_(4) 3)`
` :. 3^(log_(4)5 ) - 5^(log_(4) 3) = 0`
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|18 Videos
  • LOGARITHM AND ITS PROPERTIES

    CENGAGE PUBLICATION|Exercise Linked Comprehension Type|6 Videos
  • LOGARITHM AND ITS PROPERTIES

    CENGAGE PUBLICATION|Exercise Exercise 1.6|6 Videos
  • LOGARITHM AND ITS APPLICATIONS

    CENGAGE PUBLICATION|Exercise Subjective Type|9 Videos
  • MATHMETICAL REASONING

    CENGAGE PUBLICATION|Exercise Archives|10 Videos

Similar Questions

Explore conceptually related problems

Find the value of ((log)_3 4)((log)_4 5)((log)_5 6)((log)_6 7)((log)_7 8)((log)_8 9)dot

Let L denote antilog_32 0.6 and M denote the number of positive integers which have the characteristic 4, when the base of log is 5, and N denote the value of 49^((1-(log)_7 2))+5^(-(log)_5 4.) Find the value of (L M)/Ndot

The value of 5^((log)_(1/5)(1/2))+(log)_(sqrt(2))4/(sqrt(7)+sqrt(3))+(log)_(1/2)1/(10+2sqrt(21)) is.........

The value of N=((log)_5 250)/((log)_(50)5)-((log)_5 10)/((log)_(1250)5) is...........

The value of (1+2(log)_3 2)/((1+(log)_3 2)^2)+((log)_6 2)^2 is

Find the value of 81^((1//log_5 3))+(27^(log_9 36)) + 3^((4/(log_7 9))

Find the value of (1/(49))^(1+(log)_7 2)+5^(-1(log)_((1/5))(7))

The value of |(log_(3)512,log_(4)3),(log_(3)8,log_(4)9)|xx|(log_(2)3,log_(8)3),(log_(3)4,log_(3)4)| is -

Find the value of (log)_2(2 9 3-2)+(log)_2(12 3 3+4+4 9 3)dot

CENGAGE PUBLICATION-LOGARITHM AND ITS PROPERTIES-Exercises (Single Correct Answer Type)
  1. If f(x)=log((1+x)/(1-x)),t h e n (a)f(x1)f(x2)=f(x1+x2) (b)f(x+2)-...

    Text Solution

    |

  2. about to only mathematics

    Text Solution

    |

  3. The value of 3^((log)4 5)-5^((log)4 3) is

    Text Solution

    |

  4. If 2^(x+y)=6^ya n d3^(x-1)=2^(y+1), then the value of (log3-log2)(x-y)...

    Text Solution

    |

  5. The value of x satisfying sqrt3^(-4+2log(sqrt5)x)= 1//9 is

    Text Solution

    |

  6. The value of x satisfying the equation 3sqrt(5)^(log)5 5^(((log)5(log)...

    Text Solution

    |

  7. If sqrt((log)2x)-0. 5=(log)2sqrt(x ,) then x equals (a)odd integer (...

    Text Solution

    |

  8. If log(y) x + log(x) y = 2, x^(2)+y = 12 , then the value of xy is

    Text Solution

    |

  9. সমাধান করো : 4^(log9 3)+9^(log2 4)=10^(logx 83)।

    Text Solution

    |

  10. Solve (x+1)^(log(10) (x+1))=100(x+1)

    Text Solution

    |

  11. If log2x+logx2=10/3=log2y+logy2 and x!=y ,then x+y=

    Text Solution

    |

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

    Text Solution

    |

  13. If (log)3{5+4(log)3(x-1)}=2, then x is equal to

    Text Solution

    |

  14. If 2x^((log)4 3)+3^((log)4x)=27 , then x is equal to 2 (b) 4 (c) 8 (d...

    Text Solution

    |

  15. The equation log4(3-x)+log(0.25)(3+x)=log4(1-x)+log(0.25)(2x+1) has

    Text Solution

    |

  16. The value of b for which the equation 2(log)(1/(25))(b x+28)=-(log)5(1...

    Text Solution

    |

  17. If the equation 2^x(1-2^x)+4^y=2^y is solved for y in terms of x where...

    Text Solution

    |

  18. Solve the equation x^(logx(x+3)^2 )=16

    Text Solution

    |

  19. The product of roots of the equation (log(8)(8//x^(2)))/((log(8)x)^(2)...

    Text Solution

    |

  20. Let agt1 be a real number . If S is the set of real number x that are...

    Text Solution

    |