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

Verified by Experts

`10^x=64`
Now
`10^(x/2+1)`
`=10^(x/2)×10`
`=(10^x)^(1/2)×10`
Putting the value `10^x=64`
`=(64)^(1/2)×10`
`=8^(2xx1/2)×10=80`
`=8×10=80`
`therefore` The value of `10^(x/2+1)=80`
Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    RD SHARMA|Exercise All Questions|23 Videos

  • FACTORIZATION OF ALGEBRAIC EXPRESSIONS

    RD SHARMA|Exercise All Questions|226 Videos

Similar Questions

Explore conceptually related problems

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

If x^(4)+y^(4)=17 and x+y=1, then what is the value of x^(2)y^(2)-2xy?( a) 8 (b) 10(c)12 (d) 16

The average of 2, 7, 6 and x is 5 and the average of 18, 1, 6, x and y is 10. What is the value of y ? (a) 5 (b) 10 (c) 20 (d) 30

If the standard deviation of a distribution is 9, what is the value of variance? (A) 18 (B) 27 (C ) 81 (D) 36

What is the value of [log_(10)(5log_(10)100)]^(2)? a.1 b.2 c.10 d.25

If a-b=3 and a^(2)+b^(2)=29, find the value of ab. (a) 10 (b) 12 (c) 15 (d) 18

If sqrt(81)+sqrt(64)=x ,then find the value of x=

If 3x – 4 (64 – x) = 10, then the value of x is

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

The Tangent to the curve y=x+(1)/(x) at (a,b) is parallel to X - axis , then the value of : (a,b)= (a) (0,+-1) (b) (+-2,+-3) (c) (+-1,0) (d) (+-1,+-2)

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

    Text Solution

    |

  2. If (2^3)^2=4^x ,\ then 3^x= 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) 8...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    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 8 (b) 1/8 (c) 2 (d) 1...

    Text Solution

    |

  12. (5^(n+2) −6 xx 5^(n+1))/(3 xx 5^n − 2xx 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= 2 (b) 3 (c) 5 (d) 4

    Text Solution

    |

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

    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 1 (b) 1/3 (c) -...

    Text Solution

    |

  18. If sqrt(5^n)=125 , then 5^(nsqrt64 )= 25 (b) 1/(125) (c) 625 (d)...

    Text Solution

    |

  19. If (16)^(2x+3)=(64)^(x+3), then 4^(2x-2)=64(b) 256 (c) 32 (d) 512

    Text Solution

    |

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

    Text Solution

    |