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If (5+2sqrt6)^(x^(2)-3)+(5-2sqrt6)^(x^(2...

If `(5+2sqrt6)^(x^(2)-3)+(5-2sqrt6)^(x^(2)-3)=10`, then x =

A

`+-2`

B

`+-sqrt(2)`

C

`+-2,+-sqrt(2)`

D

`2,sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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ML KHANNA-LOGARITHMS AND SURDS-Problem Set (2) (Multiple choice questions)
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  6. The least positive integer x satisfying |x+1|+|x-4|gt7 is

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  7. Solve sqrt(x+3-4sqrt(x-1))+sqrt(x+8-6sqrt(x-1))=1

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  8. The number of values of x satisfying 1+log(5)(x^(2)+1)gelog(5)(x^(2)+4...

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  9. The number of solutions the equation |x+1|^(log(x+1)(3+2x-x^(2)))=(x-3...

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  10. If log(5)(6+(2)/(x))+log((1//5))(1+(x)/(10))le1, then x lies in

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  11. The quadratic equations Sigma ((x-q)(x-r))/((p-q)(p-r))-1=0 or Sigma (...

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  12. The number of solutions of the equation root3((1+x))+root3((8-x))=3 i...

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  13. The number of solutions of the equation 2^(x)+2^(x-1)+2^(x-2)=5^(x)+5^...

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  14. The number of solutions of the equation 2x^(log(10)x)+3x^(log(10)(1//x...

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  15. The system of equation |x-1|+3y=4,x-|y-1|=2 has

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  16. The roots of the equation 2^(x+2)27^(x//(x-1))=9 are given by

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  17. If 2^(x+y)=6^(y) and 3^(x-1)=2^(y+1), then the value of (log3-log2)//(...

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  18. If (7-4sqrt(3))^(x^(2)-4x+3)+(7+4sqrt(3))^(x^(2)-4x+3)=14, then the va...

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  19. If (5+2sqrt6)^(x^(2)-3)+(5-2sqrt6)^(x^(2)-3)=10, then x =

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  20. The roots of the equation (p+sqrt(q))^(x^(2)-15)+(p-sqrt(q))^(x^(2)-15...

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