Home
Class 9
MATHS
If 8^(x+1)=64 , what is the value of 3^(...

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

Text Solution

Verified by Experts

`8^(x+1)=64`
`=8^(x+1)=8^2`
Comparing, we get;
`x+1=2`
`=x=2−1=1`
Now
`3^(2x+1)`
`=3^(2×1+1)`
`=3^(2+1)`
`=3^3`
`=3×3×3`
`=27`
`therefore` The value of `3^(2x+1)=27`
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 10^(x)=64, what is the value of 10^((x)/(2))+1?18 (b) 42(c)80(d)81

If 3^(x-1)=9 and 4^(y+2)=64, what is the value of (x)/(y)?

Find the value of x if 2^(x-3)=1 (a) 1 (b) 2 (c) 3 (d) 4

The average of X_(1),backslash X_(2) and X_(3) is 14. Twice the sum of X_(2) and X_(3) is 30. What is the value of X_(1)?( a) 12 (b) 16(c)20 (d) 27

If 3x+(1)/(2x)=5 then what is the value of 27x^(3)+(1)/(8x^(3)) ?

If 3x+7=x^(2)+P=7x+5, what is the value of P?(1)/(2)(b)8(1)/(4)(c)8(1)/(2) (d) Cannot be determined

RD SHARMA-EXPONENTS OF REAL NUMBER-All Questions
  1. Which of the following is (are) not equal to {(5/6)^(1/5)}^(-1/6)\ ? ...

    Text Solution

    |

  2. When simplified (x^(-1)+y^(-1))^(-1) is equal to (a)\ x y (b) x+y ...

    Text Solution

    |

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

    Text Solution

    |

  4. If 0ltyltx , which statement must be true? sqrt(x)-\ sqrt(y)=\ sqrt(x-...

    Text Solution

    |

  5. If x is a positive real number and x^2=2, then x^3= sqrt(2) (b) 2s...

    Text Solution

    |

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

    Text Solution

    |

  7. If 10^x=64 , what is the value of 10^(x/2+1) ? (a) 18 (b) 42 (c) 8...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. (5^(n+2) −6 xx 5^(n+1))/(3 xx 5^n − 2xx 5^(n+1)) is equal to ...

    Text Solution

    |

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

    Text Solution

    |

  18. If (3^(2x-8))/(225)=(5^3)/(5^x) , then x= 2 (b) 3 (c) 5 (d) 4

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |