Home
Class 11
MATHS
Evaluate: 81^(1//log(5)3) + 27^(log(9)36...

Evaluate: `81^(1//log_(5)3) + 27^(log_(9)36) + 3^(4//log_(l)9)`

Text Solution

Verified by Experts

`81^(log_(g)^(5)) + 3^(3log_(g)36)+3^(log_(g)7)`
`=3^(4)log_(3)5 + 3^(log_(3))(36)^(3//2)+ 3^(log(3))7^(2)`
=625 + 216 +49=890.
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 81^((1/log_(5)3))+(27^(log_(9)36))+3((4)/(log_(9)9))

The value of 81^((1)/(log_(5)(3)))+27^(log_(9)(36))+3^((4)/(log7)(9))

The value of OF 81^(1/(log_5(3)))+27^(log_9(36))+3^(4/(log_7(9))) is equal to (a) 49 ((b)625 (c) 216 (d) 890

Evaluate: log_(9)27 - log_(27)9

(1)/(log_(3)2)+(2)/(log_(9)4)-(3)/(log_(27)8)=0

Find x if 9^(1//log_(2)3) le log_(2) x le log_(8) 27

Let L denotes the value of a satisfying the equation log_(sqrt(3))(a) =(10)/(3) and M denotes the value of b satisfying the equation 4^(log_(9)^(3)) + 9^(log_(2)^(4)) = 10 ^(log_(b)^(83)). Find (L+M)

log_(x)(log_(9)(3^(x)-9))<1

ALLEN-BASIC MATHS LOGARITHIM TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION -ILLUSTRATIONS
  1. If log(a)x = p and log(b)x^(2) =q, then log(x)sqrt(ab) is equal to (wh...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. 4(sin^(6)theta+cos^(6)theta)-6(sin^(4)theta+cos^(4)theta)is equal to

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. Prove that tan 70^(@)=cot70^(@)+2cot40^(@)

    Text Solution

    |

  17. If sin2A= lambda sin 2B prove that (tan(A+B)/tan(A-B))=(lambda+1)/(la...

    Text Solution

    |

  18. (sin5theta+sin2theta-sin tehta)/(cos5theta+2cos3theta+2cos^(2)theta+co...

    Text Solution

    |

  19. Prove that: s in 12^0s in 48^0s in 54^0=1/8dot

    Text Solution

    |

  20. Prove that (2cos2A+1)/(2cos2A-1)=tan(60^0+A)tan(60^0-A)dot

    Text Solution

    |