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If x^2+y^2=27xy, then show that log((x-y...

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

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VGS PUBLICATION-BRILLIANT-REAL NUMBERS-EXERCISE
  1. Use Euclid's division lemma to show that the square of any positive in...

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

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

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

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

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

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

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  8. Write 210 as product of prime factors.

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  9. If the HCF of 306 and 657 is 9 then find their LCM.

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  10. Support the Fundamental theorem of Arithmetic by considering some exam...

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  11. Is the units digit in the value of 6^n where 'n' is a natural number i...

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  12. Explain why 7xx11xx13+13 and 7xx6xx5xx4xx3xx2xx1+5 are composite nubme...

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  13. Find the HCF of 45,75 from Euclid's division lemma.

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  14. How do you say 7xx11xx13+13 and 7xx6xx5xx4xx3xx2xx1+5 are composite nu...

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  15. Express the following in log forms. (i) 2^(5)=32

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  16. Express the following in log forms. (ii) 3^(3)=27

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  17. Express the following in log forms. (iii) 5^(3)=125

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  18. Calculate the value of log(2)512.

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  19. Calculate the value of log(10)0.01.

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  20. Express log(5)125=3 in its exponential form.

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