Home
Class 12
MATHS
The value of x satisfying sqrt3^(-4+2l...

The value of x satisfying ` sqrt3^(-4+2log_(sqrt5)x)= 1//9` is

A

2

B

3

C

4

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
`3^(-2)3^(log_(sqrt5)x ) = 3^(-2)`
` rArr 3^(log_(sqrt5)x) = 1`
`rArr log_(sqrt5)x = 0`
` rArr x = 1`
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

The value(s) of x, satisfying 3^(4log_9(x+1))=2^(2log_2 x)+3

The value of x satisfying the equation 3sqrt(5)^((log_5) 5^(((log)_5(log)_5log_5(x/2))) = 3 1 (b) 3 (c) 18 (d) 54

The value of x satisfying abs(x-1)^(log_3 x^2-2log_x 9)=(x-1)^7 is

Complete set of values of x satisfying the inequality x-3 lt sqrt(x^2+4x-5) is

The value of x satisfying x+log_10(1+2^x)=x log_10 5+log_10 6 is

The value of x in (0,pi/2) satisfying (sqrt(3)-1)/(sinx)+(sqrt(3)+1)/(cosx)=4sqrt(2) is / are

The number of values of x satisfying the equation sqrt(sin x) - 1/sqrt(sin x) = cos x is

Values of x satisfying the equation abs(log_sqrt3 x-2)-abs(log_3 x-2)=2 are

The number of values of x in [0 , 4pi] satisfying abs(sqrt3 cos x - sin x) ge 2 , is

CENGAGE PUBLICATION-LOGARITHM AND ITS PROPERTIES-Exercises (Single Correct Answer Type)
  1. The value of 3^((log)4 5)-5^((log)4 3) is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. The number of roots of the equation (log)(3sqrt("x"))x+(log)(3x)sqrt(x...

    Text Solution

    |

  20. The set of all x satisfying the equation x^(log)3x^2+((log)3x)^(2-10)=...

    Text Solution

    |