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If 2^(x-1)+2^(x+1)=1280 , then find the ...

If `2^(x-1)+2^(x+1)=1280 ,` then find the value of `x`

A

`8`

B

`9`

C

`10`

D

`6`

Text Solution

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The correct Answer is:
B
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MTG IIT JEE FOUNDATION-EXPONENTS AND POWERS-EXERCISE (MULTIPLE CHOICE QUESTION) (LEVEL -I)
  1. If 2^(x-1)+2^(x+1)=1280 , then find the value of x

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  2. Find the value of 4^(3)+(1)/(4^3)

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  3. Find the value of [(10)^(150) div (10)^(146)].

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  4. (2.4xx10^3)div(8xx10^2)=?

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  5. (1000)^(7)div10^(18)=?

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  6. If 3^(6)xx9^(2)=3^(n)xx3^(2), then value of n is

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  7. If (9^(n)xx3^(5)xx(27)^3)/(3xx(81)^4)=27, then the value of n is

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  8. If 5^a=3125 , then thevalue of 5^((a-3)) is 25 b. 125 c. 625 d. 1625

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  9. If ((1)/((-7)^3)÷(1)/(7^8))div x=1, then the value of x is

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  10. If 2^(2n-1)=1/(8^(n-3)), then the value of n is -2 b. 2 c. 0 d. 3

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  11. (4^(5)xx3^5)/((12)^(5) xx9^2)=?

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  12. Assuming that x is a positive real number and a ,\ b ,\ c are rational...

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  13. Differentiate ((x^(a))/(x^(b)))^(a+b)*((x^(b))/(x^(c)))^(b+c)*((x^(c))...

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  14. The value of (8^(-25)-8^(-26)) is 7xx8^(-25) b. 7xx8^(-26) c. 8xx8^(-...

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  15. 49xx49xx49xx49=7^? 4 b. 7 c. 8 d. 16

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  16. Number of prime factors is (6^(12)xx(35)^(28)xx(15)^(16))/((14)^(14)xx...

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

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  18. If 2^(n-1)+2^(n+1)=3, then n is equal to 0 b. 2 c. -2 d. -1

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  19. If 3^(x)-3^(x-1)=18, then the value of x^x is

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  20. By what number should ((2)/(3))^3 be divided so that the quotient is (...

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