Home
Class 14
MATHS
If sqrt(2^n)=64 , then the value of n is...

If `sqrt(2^n)=64 ,` then the value of `n` is `2` b. `4` c. `6` d. `12`

Promotional Banner

Topper's Solved these Questions

  • STOCKS AND SHARES

    RS AGGARWAL|Exercise All Questions|42 Videos
  • TABULATION

    RS AGGARWAL|Exercise All Questions|25 Videos

Similar Questions

Explore conceptually related problems

If sqrt(3^(n))=729, then the value of n is (a)6(b)8(c)10(d)12

Suppose A is a complex number and n in N such that A^(n)=(A+1)^(n)=1, then the least value of n is 3 b.6 c.9 d.12

If (sqrt(3))^(5)xx9^(2)=3^(n)xx3sqrt(3), then the value of n is a.2 b.3 c.4d.5

If a_1=1\ a n d\ a_(n+1)=(4+3a_n)/(3+2a_n),\ ngeq1\ a n d\ if\ (lim)_(n->oo)a_n=n then the value of a_n is sqrt(2) b. -sqrt(2) c. 2\ d. none of these

If (10^(12)+25)^(2)-backslash(10^(12)-25)^(2)=10^(n), then the value of n is 5 (b) 10(c)14 (d) 20

If sqrt(x)+sqrt(441)=0.02, then the value of x is (a) 0.1764 (b) 1.764 (c) 1.64 (d) 2.64

If 2*3=sqrt(13) and 3*4=5, then the value of 5*12 is sqrt(17)(b)sqrt(29)(c)12 (d) 13

If a a n d b are positive integers, a > b and (a+b)^2-(a-b)^2> 29 , then the smallest value of a is 3 (b) 4 (c) 6 (d) 7

If (1+sqrt(5))^(n)=A+B sqrt(5);n in N. Then the value of (A+B)^(2)-6B^(2)-2AB is equal to

RS AGGARWAL-SURDS AND INDICES-All Questions
  1. If 5^a=3125, then the value of 5^(a-3) is a. 25 b. 125 c. 625 d. 1625

    Text Solution

    |

  2. If 5sqrt(5)xx5^3-:5^(-3//2)=5^(a+2), then the value of a is a. 4 b. 5 ...

    Text Solution

    |

  3. If sqrt(2^n)=64 , then the value of n is 2 b. 4 c. 6 d. 12

    Text Solution

    |

  4. If (sqrt(3))^5xx9^2=3^nxx3sqrt(3), then the value of n is a. 2 b. 3 c....

    Text Solution

    |

  5. If (9^n xx 3^5 xx 27^3)/(3 xx (81)^4) = 27, then n equals

    Text Solution

    |

  6. If (9/4)^x xx(8/(27))^(x-1)=2/3, then the value of x is a. 1 b. 2 c. 3...

    Text Solution

    |

  7. If 2^x=root(3)32, then x is equal to a. 5 b. 3 c. 3/5 d. 5/3

    Text Solution

    |

  8. If 2^x xx8^(1//5)=2^(1//5) , then x is equal to a. 1/5 b. -1/5 c. 2/5 ...

    Text Solution

    |

  9. If 5^(x+3)=25^(3x-4), then the value of x is a. 5/(11) b. (11)/5 c. (1...

    Text Solution

    |

  10. The expression [root(3)root(6)(a^9) ]^4[root(6)root(3)(a^9)]^4 is sim...

    Text Solution

    |

  11. (256)^(0. 16)xx(256)^(0. 09)=? 4 b. 16 c. 64 d. 256. 25

    Text Solution

    |

  12. (0. 04)^(-1. 5)=? 25 b. 125 c. 250 d. 625

    Text Solution

    |

  13. (17)^(3. 5)xx(17)^?=17^8\ a. 2. 29 b. 2. 75 c. 4. 25 d. 4. 5

    Text Solution

    |

  14. 6^1.2xx36^?xx30^2.4xx25^1.3=30^5 a. 0.1 b. 0.7 c. 1.4 d. 2.6 e. None o...

    Text Solution

    |

  15. 3^3.5xx21^2xx42^2.5-:2^2.5xx7^3.5=21^? a. 6.5 b. 8 c. 10 d. 12.5 e. No...

    Text Solution

    |

  16. 8^(0. 4)xx4^(1. 6)xx2^(1. 6)=? 48 b. 64 c. 52 d. 76 e. none of these

    Text Solution

    |

  17. 8^7xx2^6-:8^2.4=8^? a. 6.6 b. 8.6 c. 9.6 d. 10.6

    Text Solution

    |

  18. 8^(2. 4)xx2^(3. 7)xx-(16)^(1. 3)=2^? 4. 8 b. 5. 7 c. 3. 2 d. 3. 6 e....

    Text Solution

    |

  19. (18)^(3. 5)-:(27)^(3. 5)xx6^(3. 5)=2^? a. 3. 5 b. 4. 5 c. 6 d....

    Text Solution

    |

  20. (25)^(7. 5)xx(5)^(2. 5)-:(125)^(1. 5)=5^? 8. 5 b. 13 c. 16 d. 17. 5 ...

    Text Solution

    |