Home
Class 11
MATHS
Find the number of solutions of the foll...

Find the number of solutions of the following equations: `x^(-1/2)(log)_(0. 5)x=1` `x^2-4x+3-(log)_2x=0`

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

Find the number of solutions to the equation x+log_(e)x=0 .

Find the number of solutions of equation 2^x+3^x+4^x-5^x=0

The number of solutions of the equation log_(x+1)(x-0.5)=log_(x-0.5)(x+1) is

Find the number of solution to equation (log)_2(x+5)=6-x :

The number of solutions of the equation log_(2)(x^(2)-2x-1)=1 is -

Find the number of real solutions to the equation log_(0.5)|x|=2|x| .

Number of solution of equation x^2-4x+[x]+3=0

The number of solutions of log_2(x-1)=2log_2(x-3) is

The number of solution(s) of log_4(x-1)=log_2(x-3) is

Solve the following equation of x :2(log)_x a+(log)_(a x)a+3(log)_(a^2x)a=0,a >0

CENGAGE PUBLICATION-LOGARITHM-All Questions
  1. The value of (log)(sqrt(4+2sqrt(2))sqrt(4-2sqrt(2)))2^9 is...........

    Text Solution

    |

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

    Text Solution

    |

  3. Find the number of solutions of the following equations: x^(-1/2)(log...

    Text Solution

    |

  4. Find the number of solution to equation (log)2(x+5)=6-x :

    Text Solution

    |

  5. Solve : 2(25)^x-5(10^x)+2(4^x)geq0.

    Text Solution

    |

  6. If (x(y+z-x))/(logx)=(y(z+x-y))/(logy) =(z(x+y-z))/(logz),p rov et h ...

    Text Solution

    |

  7. If (log)3y=xa n d(log)2z=x , find 72^x in terms of yand zdot

    Text Solution

    |

  8. If (log)a3=2and (log)b8=3, then prove that (log)a b=(log)3 4.

    Text Solution

    |

  9. Find the value of log tan1^0logtan2^0...........logtan89^0

    Text Solution

    |

  10. Sum of integers satisfying sqrt((log)2x-1)-1/2(log)2(x^3)+2>0 is......

    Text Solution

    |

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

    Text Solution

    |

  12. The least integer greater than (log)2(15)* (log)(1/6)2 * (log)3 1/6 i...

    Text Solution

    |

  13. The reciprocal of 2/((log)4(2000)^6)+3/((log)5(2000)^6) is ..............

    Text Solution

    |

  14. The value of 5^((log)(1/5)(1/2))+(log)(sqrt(2))4/(sqrt(7)+sqrt(3))+(lo...

    Text Solution

    |

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

    Text Solution

    |

  16. If xa n dy are real numbers such that 2log(2y-3x)=logx+logy ,then fin...

    Text Solution

    |

  17. If loge((a+b)/2)=1/2(loge a+loge b), then find the relation between a ...

    Text Solution

    |

  18. If 2x^((log)4 3)+3^((log)4x)=27 , then x is equal to

    Text Solution

    |

  19. The value of loga b-log|b|=

    Text Solution

    |

  20. If (21. 4)^a=(0. 00214)^b=100 , then the value of 1/a-1/b is

    Text Solution

    |