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If logy x +logx y=7, then the value of (...

If `log_y x +log_x y=7,` then the value of `(log_y x)^2+(log_x y)^2,` is

A

43

B

45

C

47

D

49

Text Solution

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The correct Answer is:
C
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ALLEN-BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION -EXERCISE (O-1)
  1. The complete solution set of the inequation sqrt(x+18)le 2-x is equal ...

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  2. Solution of the inequality, x-3 lt sqrt(x^(2)+4x-5) is

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  3. If logy x +logx y=7, then the value of (logy x)^2+(logx y)^2, is

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  4. if log2(log3(log4x))=0 and log3(log4(log2y))=0and log3(log2(log3z))=0 ...

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  5. log(10)(log(2)3) + log(10)(log(3)4) + …………+log(10)(log(1023)1024) simp...

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  6. if log9 x+log4 y=7/2 and log9 x -log8y =-3/2 then x+y is

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  7. If log(a)b+log(b)c+log(c)a vanishes where a, b and c are positive real...

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  8. Let x= 2^(log 3) and y=3^(log 2) where base of the logarithm is 10,the...

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  9. The sum of all the solutions to the equations 2log(10)x-log(10)(2x-75)...

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  10. the value of a for which(loga7)/(log67)=log(pi)36 holds good is

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  11. Let W,X,Y and Z be positive real number such that log(W.Z)+log(W.Y)=...

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  12. If Sigma(0)^(n=1)(r+2)/(r+1)= prod-(r=10)^(99)log(r)(31), lies two suc...

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  13. The number N = 6 log(10) 2+ log(10) 31 lies between two successive in...

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  14. Number of real solution(s) of the equation |x-3|^(3x^2-10x+3)=1 is :

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  15. The solution set of the inequality log(5/8)(2x^(2)-x-3/8) ge1 is-

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  16. Solution set of the inequality, 2-log(2)(x^(2)+3x) ge0 is-

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  17. If (log(1/3))(3x-1)/(x+2) is less than unity, then 'x' must lie in the...

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  18. if sin x + sin^2 x = 1, then the value of cos^2 x + cos^4x is

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  19. The value for 2(sin^6theta+cos^6theta)-3(sin^4theta+cos^4theta)+1 is

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  20. If tanA=-1/2 and tanB=-1/3, (where A, B gt 0), then A+B can be

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