Home
Class 11
MATHS
Find the value of 2log2/5 +3 log25/8 -lo...

Find the value of `2log2/5 +3 log25/8 -log 625/128`

Text Solution

Verified by Experts

`2log2/3+3log25/8+log128/625`
`log2^(2)/5^(2)+log(5^(2)/2^(3))^(3) + log 2^(7)/5^(4)`
`=log 2^(2)/5^(2).5^(6)/2^(9).2^(7)/5^(4) = log 1=0`
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise EXERCISE (S-1)|44 Videos

Similar Questions

Explore conceptually related problems

Find the value of 7 log(16/15) + 5 log (25/24) + 3 log (81/80) .

log 2925=3.466125 then find the values of log 29.25,log 2.925 ,log 0.002925 and log 292500

Find the value of log_(5) log_(2)log_(3) log_(2) 512 .

What is the value of 2 log(5//8) + log(128//125)+ log(5//2) ?

Find the value of (log sqrt(27) + log sqrt(8) - log sqrt(125))/(log 6 - log 5)

ALLEN-BASIC MATHS LOGARITHIM TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION -ILLUSTRATIONS
  1. If log(5)p = a and log(2)q=a, then prove that (p^(4)q^(4))/(100) = 100...

    Text Solution

    |

  2. The value of N satisfying log(a)[1+log(b){1+log(c)(1+log(p)N)}]=0 is

    Text Solution

    |

  3. Find the value of 2log2/5 +3 log25/8 -log 625/128

    Text Solution

    |

  4. If log(theta)x-log(theta)y= a, log(theta)y-log(theta)z=b and log(theta...

    Text Solution

    |

  5. If a^(2)+b^(2)=23ab, then prove that log(a+b)/5=1/2(loga+logb)

    Text Solution

    |

  6. If log(a)x = p and log(b)x^(2) =q, then log(x)sqrt(ab) is equal to (wh...

    Text Solution

    |

  7. If a,b,c are distinct real number different from 1 such that (log(b)...

    Text Solution

    |

  8. Evaluate: 81^(1//log(5)3) + 27^(log(9)36) + 3^(4//log(l)9)

    Text Solution

    |

  9. Solve for x: a) log(0.5)(x^(2)-5x+6) ge -1, b) log(1//3)(log(4)(x^(2)-...

    Text Solution

    |

  10. Solve for x: log(2)x le 2/(log(2)x-1)

    Text Solution

    |

  11. Solve the equation: log(2x+3)x^(2) lt log(2x)(2x+3)

    Text Solution

    |

  12. Solve for x:2^(x+2) gt (1/4)^(1/x)

    Text Solution

    |

  13. Solve for x: (1.25)^(1-x) gt (0.64)^(2(1+sqrt(x))

    Text Solution

    |

  14. Show that log(4)18 is an irrational number.

    Text Solution

    |

  15. If in a right angled triangle, a and b are the lengths of sides and c ...

    Text Solution

    |

  16. If the arcs of same length in two circles subtend angles of 60^(@) and...

    Text Solution

    |

  17. If sintheta+sin^(2)theta=1, then prove that cos^(12)theta+3cos^(10)the...

    Text Solution

    |

  18. 4(sin^(6)theta+cos^(6)theta)-6(sin^(4)theta+cos^(4)theta)is equal to

    Text Solution

    |

  19. If sintheta=-1/2 and tantheta=1/sqrt(3) then theta is equal to,

    Text Solution

    |

  20. Prove that sqrt(3) " cosec "20^(@)-sec 20^(@)=4

    Text Solution

    |