Home
Class 12
MATHS
If (a^(logb x))^2-5\ a^(logb x)+6=0, whe...

If `(a^(log_b x))^2-5\ a^(log_b x)+6=0,` where `a >0, b >0\ &\ a b!=1,` then the value of `x` can be equal to (a) `2^(log_b a)` (b) `3^(log_a b)` (c) `b^(log_a2)` (d) `a^(log_b3)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    BANSAL|Exercise All Questions|436 Videos

  • MASTER PRACTICE PROBLEM

    BANSAL|Exercise Match the column|48 Videos

Similar Questions

Explore conceptually related problems

(a^(log_(b)x))^(2)-5x^(log_(b)a)+6=0

The value of (6 a^(log_(e)b)(log_(a^(2))b)(log_(b^(2))a))/(e^(log_(e)a*log_(e)b)) is

The value of a(log_(b)(log_(b)x))/(log_(b)a) is

(1+log_(c)a)log_(a)x*log_(b)c=log_(b)x log_(a)x

The value of x, satisfiying log_(a)(1+log_(b){1+log_(c)(1+log_(p)x)})=0 is

If log_(b)2=a and log_(b)5=c ,where b>0 with b!=1 , then log_(b)500 is equal to which of the following

If a^x=b , b^y=c ,c^z=a and x=(log)_b a^2; y=(log)_c b^3& z=(log)_a c^k , where a,b, c >0 & a , b , c!=1 then k is equal to a.1/5 b. 1/6 c.(log)_(64)2 d. (log)_(32)2

Solve :2log_(x)a+log_(ax)a+3log_(b)a=0 where a>0,b=a^(2)x

If log_(a)b=2, log_(b)c=2, and log_(3) c= 3 + log_(3) a,then the value of c/(ab)is ________.

The value of a^(("log"_(b)("log"_(b)x))/("log"_(b) a)) , is

BANSAL-LOGARITHM-All Questions
  1. A denotes the product xyz where x,y and z satisfy log3 x= log5-log7 a...

    Text Solution

    |

  2. Let N=((log)3 135)/((log)(15)3)-((log)3 5)/((log)(405)3) . Then N is a...

    Text Solution

    |

  3. If (a^(logb x))^2-5\ a^(logb x)+6=0, where a >0, b >0\ &\ a b!=1, then...

    Text Solution

    |

  4. Which of the following statement(s) is/are true? (a) log(10)2 lies be...

    Text Solution

    |

  5. The equation log(x^2) 16+log(2x)64=3 has (a) one irrational solution (...

    Text Solution

    |

  6. Which of the following real numbers is (are) non-positive ? (log)(1//...

    Text Solution

    |

  7. The expression x=log2log9sqrt(6+sqrt(6+sqrt(6+.........oo))) simplifie...

    Text Solution

    |

  8. The number N= 2^ (log2 3·log3 4.log4 5....... log99 100) simplifies to

    Text Solution

    |

  9. The expression 1/(log5 3)+1/log6 3-1/log10 3simplifies to

    Text Solution

    |

  10. The number N=sqrt(2+sqrt5-sqrt(6-3sqrt5+sqrt(14-6sqrt5) simplifies to

    Text Solution

    |

  11. The value(s) of x , which does not satisfy the equation log2^2(x^2-x...

    Text Solution

    |

  12. The value of x satisfying the equation 2^(log2e^(In^5log 7^(log10^(log...

    Text Solution

    |

  13. he number N=(1/(log2pi)+1/(log6pi)) is less then

    Text Solution

    |

  14. Let I=(log3 4+log2 9)^2-(log3 4-log2 9)^2 and m=(0.8)(1+9^(log3 8))^...

    Text Solution

    |

  15. Let A denotes the value of log10 {(ab+sqrt((ab)^2-4(a+b)))/2}+log10 {l...

    Text Solution

    |

  16. If k^(log2 5)=16 , find the value of k^((log2 5)^2)

    Text Solution

    |

  17. For x , y in NN , if 3^(2x-y+1)=3^(y-2x+1)-8 and log6|2x^2y-x y^2|=1+...

    Text Solution

    |

  18. Let log2x+log4y+log4z=2; log9x+log3y+log9z=2; log(16)x+log(16)y+log4z...

    Text Solution

    |

  19. Find the value of x satisfying (log)(10)(2^x+\ x-41)=x\ (1-(log)(10)...

    Text Solution

    |

  20. Positive numbers x , y\ and\ z satisfy x y z\ =\ 10^(81) and (log(10)x...

    Text Solution

    |