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Is log3 81 rational or irrational ? Just...

Is `log_3` 81 rational or irrational ? Justify your answer.

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VGS PUBLICATION-BRILLIANT-REAL NUMBERS-EXERCISE
  1. Find the value of log(sqrt2) 256.

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  2. Find the HCF and LCM of 90, 144 by prime factorisation method.

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  3. Is log3 81 rational or irrational ? Justify your answer.

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  4. Expand log(10)385.

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  5. Find the HCF of 64 and 72

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  6. Find the value of logsqrt2 128.

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  7. Ramu says, "If log10 x = 0, value of x = 0". Do you agree with him ? G...

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  8. Write any three numbers of two digit its. Find the LCM and HCF for the...

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  9. Give an example for each of the following: (i) The product of two ir...

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  10. Give an example for each of the following: (i) The product of two ir...

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  11. State with reasons which of the following are rational numbers and whi...

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  12. State with reasons which of the following are rational numbers and whi...

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  13. Expand log((1125)/(32)).

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  14. (i) Express the numbers 6825 and 3825 as a product of its prime factor...

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

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

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  17. Express 2016 and as product of prime factors.

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

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  19. Prove that 2+sqrt3 is irrational.

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

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