Home
Class 12
MATHS
The number of real solutions of equation...

The number of real solutions of equation `x^(log_(x)2)+x^(2)=3x` is

Text Solution

Verified by Experts

The correct Answer is:
1
`x^(log_(x)2)+x^(2)=3x,xge0,xne1`
i.e., `2+x^(2)=3x,xge0,xne1`
i.e., `x^(2)-3x+2=0,xge0,xne1`
`becausex=2`
`because` number of solution is 1
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    RESONANCE|Exercise MATHEMATICS|263 Videos

  • TEST PAPERS

    RESONANCE|Exercise PART - I MATHMATICS|84 Videos

  • TEST PAPER

    RESONANCE|Exercise CHEMISTRY|37 Videos

  • TEST SERIES

    RESONANCE|Exercise MATHEMATICS|131 Videos

Similar Questions

Explore conceptually related problems

The number of real solutions of equation x^(log_(x))+x^(2)=3x is 2 b.1 c.3 d.Infinity many solutions

The number of solutions of the equation x^(log_(sqrt(x))2x)=4

The number of real solutions of the equation |x|^(2)-3|x|+2=0

The number of real solutions of the equation log_(0.5)x=|x| is

The number of real solutions of the equation log_(05)x=|x| , is

The number of solutions of the equation x^("log"sqrt(x)^(2x)) =4 is

The number of real solution(s) of the equation 9^(log_(3)(log_(e )x))=log_(e )x-(log_(e )x)^(2)+1 is equal to

The number of real solutions of the equation 3^(-|x|)-2^(|x|)=0 , is

RESONANCE-TEST PAPERS-Math
  1. f: RvecR ,f(x)(3x^2+m x+n)/(x^2+1)dot If the range of this function is...

    Text Solution

    |

  2. if [{:(1,2,a),(0,1,4),(0,0,1):}]=[{:(1,18,2007),(0,1,36),(0,0,1):}] th...

    Text Solution

    |

  3. The number of real solutions of equation x^(log(x)2)+x^(2)=3x is

    Text Solution

    |

  4. if the system of following equations in x and y 2x+3y+4=0,3x+5y+6=0 ...

    Text Solution

    |

  5. Let A=[{:(1,2,1),(0,1,-1),(3,1,1):}]. Find the sum of all the value of...

    Text Solution

    |

  6. Let g(x)=(f(x))^(2)+f(x)+19 where f(x)=|x-2|^(2)+|x-2|-2 then number o...

    Text Solution

    |

  7. if x^(4)+3cos(ax^(2)+bx+c)=2(x^(2)-2) has two solution with a,b,c in (...

    Text Solution

    |

  8. Consider the function f(x)=lim(nto infty) ((1+cosx)^(n)+5lnx)/(2+(1+co...

    Text Solution

    |

  9. A square matrix B is said to be an orthogonal matrix of order n if BB^...

    Text Solution

    |

  10. Let a,b,c be different nonzero real numbers and x,y,z be three numbers...

    Text Solution

    |

  11. Let f (x) = x^3-x^2-x+1 and g(x) = {max{f(t); 0<=t<=x}, 0<=x<=1, 3-x, ...

    Text Solution

    |

  12. if p^(2)+2q^(2)+5r^(2)+2pq-4qr+6p+6q-2r+10le0 for p,q,r in R then iden...

    Text Solution

    |

  13. Let (log(x)(2a-x))/(log(x)2)+(log(a)(x))/(log(a)2)=(1)/(log(a^(2)-1)2)...

    Text Solution

    |

  14. If a + b + c = 0, then one of the solution of |(a-x,c,b),(c,b-x,a),(b,...

    Text Solution

    |

  15. If number of integral values of x satisfying the inequality ((x)/(100)...

    Text Solution

    |

  16. if alpha+(1)/(alpha) and 2-beta-(1)/(beta)(alpha,betage0) are the root...

    Text Solution

    |

  17. in the given figure y=x^(2)+bx+c is a quadratic polynomial which meets...

    Text Solution

    |

  18. in the given figure y=x^(2)+bx+c is a quadratic polynomial which meets...

    Text Solution

    |

  19. All possible roots of polynomial with integral coefficients can be ide...

    Text Solution

    |

  20. All possible roots of polynomial with integral coefficients can be ide...

    Text Solution

    |