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If x^2+y^2=7xy then show that 2log(x+y)=...

If `x^2+y^2=7xy` then show that `2log(x+y)=logx+logy+2log3.`

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VGS PUBLICATION-BRILLIANT-REAL NUMBERS-EXERCISE
  1. (i) Express the numbers 6825 and 3825 as a product of its prime factor...

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  2. Find the HCF and LCM of the following given pairs of numbers by prime ...

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  3. If x^2+y^2=7xy then show that 2log(x+y)=logx+logy+2log3.

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  4. Express 2016 and as product of prime factors.

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  5. Write any two digit numbers. Find their L.C.M. and G.C.D. by prime fac...

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  6. Prove that 2+sqrt3 is irrational.

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  7. Show that log""(162)/(343)+2log""(7)/(9)-log""(1)/(7)=log2

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  8. Lalitha says that HCF and LCM of the numbers 80 and 60 are 20 and 120 ...

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  9. If x^2 + y^2 = 10xy, prove that 2 log (x + y) = log x + log y + 2 log ...

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  10. Use Euclid's division lemma to show that the cube of any positive inte...

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  11. Prove that sqrt2-3sqrt5 is a irrational number.

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  12. Use Euclid's division lemma, to show that the cube of any positive int...

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  13. Prove that sqrt3-sqrt5 is an irrational number.

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  14. Use Euclid's division lemma to show that the square of any positive in...

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  15. Use Euclid's division lemma to show that the square of any positive in...

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  16. If x^2+y^2=27xy, then show that log((x-y)/(5))=1/2[logx+logy].

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  17. Prove that sqrt3 + sqrt5 is an irrational number.

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  18. Show that cube of any positive integer will be in the form of 8m or 8m...

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  19. Prove that sqrt2+sqrt11 is an irrational number.

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  20. Show that sqrt5-sqrt3 is an irrational number.

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