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Prove: logb1 = 0...

Prove: `log_b1 = 0`

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VGS PUBLICATION-BRILLIANT-REAL NUMBERS-EXERCISE
  1. Does log(2)0 exist ? Give reason .

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  2. Prove: logb b = 1

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  3. Prove: logb1 = 0

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  4. Prove: logb b^x=x

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  5. Prove: If logx16 = 2, then x^2 = 16 implies x = +- 4, Is it correct or...

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  6. We know that log10 100000 = 5 Show that you get the same answer by wri...

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  7. Express the logarithms of the following into sum of the logarithms. (i...

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  8. Express the logarithms of the following into sum of the logarithms. (i...

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  9. Express the logarithms of the following into sum of the logarithms. (i...

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  10. Theorem : (Quotient Rule) Let a, x and y be positive real numbers wher...

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  11. Express the logarithms of the following into difference of the logarit...

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  12. Express the logarithms of the following into difference of the logarit...

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  13. Express the logarithems of the following into difference of the logari...

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  14. Express the logarithms of the following into difference of the logarit...

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  15. We know that (a^m)^n = a^(mn) Let a^m = x, then m = logax x^n = a^(mn)...

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  16. We have log(2)32 = 5 . Show that we get the same result by writing 32 ...

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  17. Using logax^n = n loga x, expand the following :log2^7^25.

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  18. Note : log x = log10 x: log27^25

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  19. Note : log x = log10 x: log58^50

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  20. Note : log x = log10 x: log 5^23

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