Home
Class 14
MATHS
Solve for x:log(5)(5^(1//x)+125)=log(5)6...

Solve for `x:log_(5)(5^(1//x)+125)=log_(5)6+1+1//2x`

A

`1//4,1//6`

B

`1//2,1//4`

C

`1//3,1//4`

D

`1,1//2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LOGARITHMS

    DISHA PUBLICATION|Exercise Test Yourself |15 Videos

  • LOGARITHMS

    DISHA PUBLICATION|Exercise Practice Exercises (Standard Level)|43 Videos

  • LINEAR EQUATIONS

    DISHA PUBLICATION|Exercise TEST YOUSELF|15 Videos

  • MENSURATION

    DISHA PUBLICATION|Exercise TEST YOURSELF|15 Videos

Similar Questions

Explore conceptually related problems

Solve log_5(5^(1/x)+125)= log_5 6+1+1/(2)x .

If log_(5)(5^((1)/(x))+125)=log_(5)6+1+(1)/(2x), then x=

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

Solve log_(2)(25^(x+3)-1) = 2 + log_(2)(5^(x+3) + 1) .

Solve for x:(log)_(5)120+(x-3)-2.(log)_(5)(1-5^(x-3))=-(log)_(5)(0.2-5^(x-4))

Solve: log_(3)(2x^(2)+6x-5)>1

log_5 ((2+x)/10)=log_5 (2/(x+1))

Solve for x: a) log_(0.5)(x^(2)-5x+6) ge -1 , b) log_(1//3)(log_(4)(x^(2)-5)) gt 0

Solve for xlog_(5)120+(x-3)-2*log_(5)(1-5^(x-3))=-log_(5)(0.2-5^(x-4))

DISHA PUBLICATION-LOGARITHMS-Practice Exercises (Expert Level)
  1. Find the value of x, if the fourth term in the expansion of ((1)/(x^(...

    Text Solution

    |

  2. Solve : 3^(2x-1)=4^(x+2)

    Text Solution

    |

  3. Solve for x:log(5)(5^(1//x)+125)=log(5)6+1+1//2x

    Text Solution

    |

  4. If log (0.57) = 0. 756 then the value of log 57 + log (0.57)^(3) + log...

    Text Solution

    |

  5. If log(2)[log(7)(x^(2)-x+37)]=1, , then what could be the value of x ?

    Text Solution

    |

  6. If 1/3log(3)M+3log(3)N=1+log(0.008)5, then

    Text Solution

    |

  7. If log(3)2,log(3)(2^(x)-5),log(3)(2^(x)-7/2) are in arithmetic progre...

    Text Solution

    |

  8. If xgey and ygt1, then the value of the expression log(x)(x/y)+log(y)...

    Text Solution

    |

  9. If log(y)x=(a.log(z)y)=(b.log(x)z)=ab, then which of the following pai...

    Text Solution

    |

  10. What is the value of (log(sqrt(alphabeta))(H))/(log(alphabeta)(beta))

    Text Solution

    |

  11. 1/(log(2)a) + 1/(log(4)a) + 1/(log(8)a)+….. To n terms =(n(n+1))/k, th...

    Text Solution

    |

  12. If (x^(4) - 2x^(2)y^(2) + y^(4))^(a-1) =(x-y)^(2a) (x+y)^(-2), then th...

    Text Solution

    |

  13. If u = v^(2) = w^(2) =z^(4), then log(u)(uvwz), is equal to

    Text Solution

    |

  14. The first term and the last term of a GP are a and k respectively. If ...

    Text Solution

    |

  15. If y=a^(((1)/(1-log(a)x)))" and "z=a^(((1)/(1-log(a)y))), then x is eq...

    Text Solution

    |

  16. Solve the following equation for x and y log(100)|x+y| = 1/2, log(10...

    Text Solution

    |

  17. The greatest possible value of n could be if 9^(n)lt10^(8), given tha...

    Text Solution

    |

  18. Find the solution set of x, for the given inequality log(m)ngt1, where...

    Text Solution

    |

  19. The equation x^(3/4(log(2)x)^(2)+log(2)x-5/4)=sqrt(2) has

    Text Solution

    |

  20. If log(1/2) ((x^2+6x+9)/(2(x+1)) )< - log2(x+1) then complete set of v...

    Text Solution

    |