Home
Class 11
MATHS
If (log)(10)[1/(2^x+x-1)]=x[(log)(10)5-1...

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

Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUALITIES

    CENGAGE PUBLICATION|Exercise All Questions|68 Videos
  • PERMUTATIONS AND COMBINATIONS

    CENGAGE PUBLICATION|Exercise All Questions|430 Videos

Similar Questions

Explore conceptually related problems

The solution set of the inequality (log)_(10)(x^2-16)lt=(log)_(10)(4x-11) is 4,oo) (b) (4,5) (c) ((11)/4,oo) (d) ((11)/4,5)

If x+log_(10)(1+2^(x))=xlog_(10)5+log_(10)6 then the value of x is

If S={x in N :2+(log)_2sqrt(x+1)>1-(log)_(1/2)sqrt(4-x^2)} , then S={1} (b) S=Z (d) S=N (d) none of these

If x y^2=4a n d(log)_3((log)_2x)+(log)_(1/3)((log)_(1/2)y)=1,t h e nxe q u a l s 4 (b) 8 (c) 16 (d) 64

Solve (log)_2(3x-2)=(log)_(1/2)x

If (log)_2x+(log)_x2=(10)/3=(log)_2y+(log)_y2 and x!=y ,the x+y= 2 (b) 65/8 (c) 37/6 (d) none of these

If 1/(log_(x)10) = 2/(log_(0.5)10) , then find the value of x.

If log_(1//2)(4-x)gelog_(1//2)2-log_(1//2)(x-1) ,then x belongs to

The solution of the inequality (log)_(1//2) sin^(-1)x >(log)_(1//2)cos^(-1)x is (a) x in [0,(1)/(sqrt(2))] (b) x in [1/(sqrt(2)),1] (c) x in (0,(1)/(sqrt(2))) (d) none of these

If (log)_(10)5=aa n d(log)_(10)3=b ,t h e n (A) (log)_(30)8=(3(1-a))/(b+1) (B) (log)_(40)15=(a+b)/(3-2a) (C) (log)_(243)32=(1-a)/b (d) none of these

CENGAGE PUBLICATION-LOGARITHM-All Questions
  1. Solve sqrt("log"(-x))=logsqrt("x"^2) (base is 10).

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. If (log)2x+(log)x2=(10)/3=(log)2y+(log)y2 and x!=y ,the x+y= 2 (b) 65...

    Text Solution

    |

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

    Text Solution

    |

  10. if (log)y x+(log)x y=2,x^2+y=12 , the value of x y is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. If (log)a3=2a n dlog b 8=3, then prove that (log)a b=(log)3 4.

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. Solve: (log)2(4.3^x-6)-(log)2(9^x-6)=1.

    Text Solution

    |