Home
Class 9
MATHS
If 10^x=64 , what is the value of 10^(x/...

If `10^x=64 ,` what is the value of `10^(x/2+1)` ?
(a) 18
(b) 42
(c) 80
(d) 81

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    RD SHARMA ENGLISH|Exercise All Questions|23 Videos
  • FACTORIZATION OF ALGEBRAIC EXPRESSIONS

    RD SHARMA ENGLISH|Exercise All Questions|226 Videos

Similar Questions

Explore conceptually related problems

If 10^(k)=64 , what is the value of 10^((k)/(2)+1) ?

If 8^(x+1)=64 , what is the value of 3^(2x+1) ? (a)1 (b) 3 (c) 9 (d) 27

If x^(-2)=64 , what is the value of x^((1)/(3)) ?

If the arithmetic mean of 7,\ 5,\ 13 ,\ x and 9 is 10 , then the value of x is (a) 10 (b) 12 (c) 14 (d) 16

If x=sin^-1(sin10) and y=cos^(-1)(cos10) , then the value of (y-x) is (a) pi (b) 7pi (c) 0 (d) 10

If (x+2)/(x-2)=2/3 (a) -10\ (b) 10 (c) 4/3 (d) -4/3

If x+1/x=2, then x^3+1/(x^3)=? (a)64 (b) 14 (c) 8 (d) 2

If 2x=-1+sqrt(3)i , then the value of (1-x^2+x)^6-(1-x+x^2)^6 is 32 (b) -64 (c) 64 (d) 0

The value of x-y^(x-y) when x=2 and y=-2 is (a)18 (b) -18\ (c) 14 (d) -14\

In Fig.40, A B C D is a parallelogram of area 144 c m^2, the value of x is (a) 8 (b) 6 (c) 9 (d) 10

RD SHARMA ENGLISH-EXPONENTS OF REAL NUMBER-All Questions
  1. If x is a positive real number and x^2=2, then x^3= (a)sqrt(2) (...

    Text Solution

    |

  2. If (2^3)^2=4^x ,\ then 3^x= (a)3 (b) 6 (c) 9 (d) 27

    Text Solution

    |

  3. If 10^x=64 , what is the value of 10^(x/2+1) ? (a) 18 (b) 42 (c) ...

    Text Solution

    |

  4. If x/(x^(1. 5)\ )=8x^(-1) and x >0, then x= (a)(sqrt(2))/4 (b) 2...

    Text Solution

    |

  5. If g=t^(2/3)+\ 4t^(-1/2) , what is the value of g when t=64 ? ( a)...

    Text Solution

    |

  6. If x^(-2)=64 , then x^(1/3)+\ x^0= (a) 2 (b) 3 (c) 3/2 (d) 2...

    Text Solution

    |

  7. If 4^x-\ 4^(x-1)=24 , then (2x)^x equals (a)5sqrt(5) (b) sqrt(5) ...

    Text Solution

    |

  8. When simplified (-1/(27))^(-2/3) is (a) 9 (b) -9 (c) 1/9 (...

    Text Solution

    |

  9. Which one of the following is not equal to (root(3)8 )^(-1/2)\ ? ( a...

    Text Solution

    |

  10. Which one of the following is not equal to ((100)/9)^(-3/2) ? (a)\ (9/...

    Text Solution

    |

  11. When simplified (256)^-(4^((-3//2)\ )) is (a) 8 (b) 1/8 (c...

    Text Solution

    |

  12. 5 n+2 −6 xx 5 n+1/13 xx 5 n − 2 *5 n+1 is equal to

    Text Solution

    |

  13. If a ,\ b ,\ c are positive real numbers, then sqrt(a^(-1)b)\ xx\ sqrt...

    Text Solution

    |

  14. If (3^(2x-8))/(225)=(5^3)/(5^x) , then x= (a) 2 (b) 3 (c) 5 (d)...

    Text Solution

    |

  15. If (2/3)^x\ \ (3/2)^(2x)=(81)/(16), . then x= (a) 2 (b) 3 (c) 4 ...

    Text Solution

    |

  16. If a ,\ b ,\ c are positive real numbers, then root(5)(3125\ a^(10)b^5...

    Text Solution

    |

  17. The value of 64^(-1/3)\ (64^(1/3)-64^(2/3)), is (a) 1 (b) 1/3 ...

    Text Solution

    |

  18. If sqrt(5^n)=125 , then 5^(root(n)64 )= (a) 25 (b) 1/(125) ...

    Text Solution

    |

  19. If (16)^(2x+3)=(64)^(x+3), then 4^(2x-2)= (a) 64 (b) 256 (c) 3...

    Text Solution

    |

  20. If a ,\ m ,\ n are positive integers, then {root(m)root (n)a}^(m n) is...

    Text Solution

    |