Home
Class 12
MATHS
Given system of simultaneous equations 2...

Given system of simultaneous equations `2^x\ . 5^y=1\ a n d\ 5^(x+1). 2^y=2.` Then - (a) . `x=(log)_(10)5\ a n d\ y=(log)_(10)2` (b) . `x=(log)_(10)2\ a n d\ y=(log)_(10)5` (c) . `x=(log)_(10)(1/5)\ a n d\ y=(log)_(10)2` (d) . `x=(log)_(10)5\ a n d\ y=(log)_(10)(1/2)`

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Solve for x:x+(log)_(10)(1+2^(x))=x log_(10)5+log_(10)6

2log_(10)5+log_(10)8-(1)/(2)backslash log_(10)4=? a.2 b.4 c.2+2log_(10)2 d.4-4log_(10)2

If (1)/("log"_(x)10) = (2)/("log"_(a)10)-2 , then x =

(x-2)^(log_(10)^(2)(x-2)+log_(10)(x-2)^(5)-12)=10^(2log_(10)(x-2))

If x = "log"_(2) 3 " and " y = "log"_(1//2) 5 , then

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

log_(10)sin x+log_(10)cos x=-1 and log_(10)(sin x+cos x)=((log_(10)n)-1)/(2) then the value of 'n/3' is

ALLEN-LOGARITHMS-All Questions
  1. Value of x satifying (log)(10)sqrt(1+x)+3(log)(10)sqrt(1-x)=(log)(10)s...

    Text Solution

    |

  2. The equation (log)2(2x^2)+(log)2xdotx^((log)x((log)2x+1))+1/2log4 2(x^...

    Text Solution

    |

  3. Given system of simultaneous equations 2^x\ . 5^y=1\ a n d\ 5^(x+1). 2...

    Text Solution

    |

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

    Text Solution

    |

  5. Given that (log)p x=alpha\ a n d(log)q x=beta,\ then value of equa...

    Text Solution

    |

  6. If (log)c 2.(log)b 625=(log)(10)16.(log)c 10\ w h e r e\ c >0; c!=1; b...

    Text Solution

    |

  7. Number of ciphers after decimal before a significant figure comes i...

    Text Solution

    |

  8. Which of the following when simplified reduces to an integer? a.(2l...

    Text Solution

    |

  9. The equation ((log)8(8/(x^2)))/(((log)8x^2))=3 has- a.\ no integra...

    Text Solution

    |

  10. Which of the following when simplified, vanishes? 1/((log)3 2)+2/((log...

    Text Solution

    |

  11. The number N=(1+2(log)3 2)/((1+(log)3 2)^2)+log6 2 2 when simplified r...

    Text Solution

    |

  12. Which of the following are correct? a.(log)3 19.(log)(1//7)3.(log)4 1/...

    Text Solution

    |

  13. If p , q in N satisfy the equation x^sqrt(x)=(sqrt(x))^x, then pa n...

    Text Solution

    |

  14. 9. The expression, log log..../p where p 9. The expression, log, log, ...

    Text Solution

    |

  15. Which of the following numbers are positive? a.(log)(log3 2)(1/2) b. ...

    Text Solution

    |

  16. lf logpq+logq r +logr p vanishes where p, q and r are positive reals d...

    Text Solution

    |

  17. The solution set of the system of equations log12 x(1/(logx 2)+log2 y)...

    Text Solution

    |

  18. If x1and \ x2 are the solution of the equation x^(3log10^3x-2/3log(10)...

    Text Solution

    |

  19. 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 ...

    Text Solution

    |

  20. If (log)k xdot(log)5k=(log)x5,k!=1,k >0, then x is equal to k (b) 1/5...

    Text Solution

    |