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if 9^(x+2)=240+9^x , then x= 0. 5 (b...

if `9^(x+2)=240+9^x ,` then `x=` `0. 5` (b) 0.2 (c) 0.4 (d) 0.1

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To solve the equation \( 9^{(x+2)} = 240 + 9^x \), we can follow these steps: ### Step 1: Rewrite the equation We start with the equation: \[ 9^{(x+2)} = 240 + 9^x \] We can rewrite \( 9^{(x+2)} \) as \( 9^x \cdot 9^2 \): ...
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RD SHARMA-EXPONENTS OF REAL NUMBER-All Questions
  1. The value of x-y^(x-y) when x=2 and y=-2 is 18 (b) -18\ (c) 14 (...

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  2. The product of the square root of x with the cube root of x is (a) cub...

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  3. if 9^(x+2)=240+9^x , then x= 0. 5 (b) 0.2 (c) 0.4 (d) 0.1

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  4. The seventh root of x divided by the eight root of x is x (b) sqrt(...

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  5. The square root of 64 divided by the cube root of 64 is 64 (b) 2 (...

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  6. Which of the following is (are) not equal to {(5/6)^(1/5)}^(-1/6)\ ? ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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