Home
Class 11
MATHS
If (log)3{5+4(log)3(x-1)}=2, then x is e...

If `(log)_3{5+4(log)_3(x-1)}=2,` then `x` is equal to 4 (b) 3 (c) 8 (d) `(log)_2 16`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUALITIES

    CENGAGE ENGLISH|Exercise All Questions|68 Videos

  • PERMUTATIONS AND COMBINATIONS

    CENGAGE ENGLISH|Exercise All Questions|444 Videos

Similar Questions

Explore conceptually related problems

If 2x^((log)_4 3)+3^((log)_4x)=27 , then x is equal to

If "log"_(3) a xx "log"_(a) x = 4 , then x is equal to

If (a+(log)_4 3)/(a+(log)_2 3)=(a+(log)_8 3)/(a+(log)_4 3)=b ,then b is equal to 1/2 (2) 2/3 (c) 1/3 (d) 3/2

(log)_3(1+1/3)+(log)_3(1+1/4)+(log)_3(1+1/5)+ddot+(log)_3(1+1/(242)) when simplified has the value equal to: 2 (b) 4 (c) 6 (d) (log)_2 16

If 3 +"log"_(5)x = 2"log"_(25) y , then x equals to

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

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

4^(log_9 3)+9^(log_2 4)=1 0^(log_x 83) , then x is equal to

If x=(log)_k b=(log)_b c=1/2(log)_c d , then (log)_k d is equal to 6x (b) (x^3)/2 (c) 2x^3 (d) 2x^8

If (log)_4 5=aa n d(log)_5 6=b , then (log)_3 2 is equal to 1/(2a+1) (b) 1/(2b+1) (c) 2a b+1 (d) 1/(2a b-1)

CENGAGE ENGLISH-LOGARITHM-All Questions
  1. Let a , b , c , d be positive integers such that (log)a b=3/2a n d(log...

    Text Solution

    |

  2. Solve sqrt("log"(-x))=logsqrt("x"^2) (base is 10).

    Text Solution

    |

  3. If (log)3{5+4(log)3(x-1)}=2, then x is equal to 4 (b) 3 (c) 8 (d) (...

    Text Solution

    |

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

    Text Solution

    |

  5. The value of x satisfying the equation 3sqrt(5)^((log5) 5^(((log)5(l...

    Text Solution

    |

  6. If 2^(x+y)=6^y and 3^(x-1)=2^(y+1), then the value of (log3-log2)(x-y)...

    Text Solution

    |

  7. The value of 3^((log)4 5)-5^((log)4 3) is 0 (b) 1 (c) 2 (d) none of...

    Text Solution

    |

  8. If a^4b^5=1 then the value of loga(a^5b^4) equals

    Text Solution

    |

  9. If (log)2x+(log)x2=(10)/3=(log)2y+(log)y2a n dx!=y ,t h ex+y= 2 (b) 6...

    Text Solution

    |

  10. If (x+1)^((log)(10)(x+1))=100(x+1), then all the roots are positive re...

    Text Solution

    |

  11. if (log)y x+(log)x y=2,x^2+y=12 , the value of x y is 9 (b) 12 (c) ...

    Text Solution

    |

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

    Text Solution

    |

  13. Find the value of 81^((1//log5 3))+(27^(log9 36)) + 3^((4/(log7 9))

    Text Solution

    |

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

    Text Solution

    |

  15. Prove that: 2^((sqrt((log)a4sqrt(a b)+(log)b4sqrt(a b))-sqrt((log)a4sq...

    Text Solution

    |

  16. Prove that (2^((log)2 1/4x)-3^((log)(27)(x^2+1)^3)-2x) /(7^(4(log)(49...

    Text Solution

    |

  17. Solve (log)4 8+(log)4(x+3)-(log)4(x-1)=2.

    Text Solution

    |

  18. Which of the following pairs of expression are defined for the same se...

    Text Solution

    |

  19. Solve (log)2(3x-2)=(log)(1/2)x

    Text Solution

    |

  20. Solve log(-x)=2log(x+1)dot

    Text Solution

    |