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

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

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RS AGGARWAL-SURDS AND INDICES-All Questions
  1. Solve : (0. 064)xx(0. 4)^7=(0. 4)^?xx(0. 0256)^2

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  2. What is the quotient when (x^(-1)-1) is divided by (x-1)?

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

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  4. Find the value of [5(8^(1/3)+27^(1/3))^3]^(1/4) .

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  5. Find the value of {(16)^(3/2)+(16)^(-3/2)}

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  6. If (1/5)^(3y)=0.008 , then find the value of (0. 25)^y.

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  7. Simplify: ((6. 25)^(1/2)xx(0. 0144)^(1/2)+1)/((0. 027)^(1/3)xx(81)^(1/...

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  8. Find the value of (6^(2/3) xx(6^7)^(1/3))/((6^6)^(1/3))

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  9. If (p/q)^(r x-s)=(q/p)^(p x-q) , then find the value of x.

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  10. If x=y^a ,\ y=z^b and z=x^c then find the value of a b c.

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  11. Simplify : ((x^a)/(x^b))^(a^2+b^2+ab)xx((x^b)/(x^c))^(b^2+c^2+bc)xx((x...

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  12. If 8^x * 2^y=512\ and\ 3^(3x+2y)=9^6, then find the value of x and y ?

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  13. Find the largest from among root(4)6,\ sqrt(2)\ and\ root(3)4.

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  14. Find the square root of (3+sqrt(5)) .

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  15. If x=3+2sqrt(2) then find sqrt(x)-1/sqrt(x)

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  16. If 2^x=3^y=6^(-z) find the value of (1/x+1/y+1/z)

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  17. Given t=2+root(3)4+root(3)2, determine the value of t^3-6t^2+6t-2.

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  18. root(3)5 is a surd of the order a. 1/3 b. 1 c. 2 d. 3

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  19. 5^0xx8=? 0 b. 8 c. 40 d. 200

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  20. Which of the following are equal in value? I. 4^1 II. 1^4 III. 4^0 IV....

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