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if x^(2) + y^(2)= 25xy , then prove that...

if `x^(2) + y^(2)= 25xy` , then prove that 2 log(x + y) = 3log3 + logx + logy.

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NCERT GUJARATI-REAL NUMBERS -EXERCISE 1.5
  1. Determine the value of the following. 2^(2+log(2) 3)

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  2. Write the following expressions as log N and find their values. log ...

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  3. Write the following expressions as log N and find their values. log(...

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  4. Write the following expressions as log N and find their values. 3 l...

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  5. Write the following expressions as log N and find their values. 2 lo...

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  6. Write the following expressions as log N and find their values. log ...

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  7. Evaluate each of the following in terms of x and y, if it is given tha...

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  8. Evaluate each of the following in terms of x and y, if it is given tha...

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  9. Evaluate each of the following in terms of x and y, if it is given tha...

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  10. Evaluate each of the following in terms of x and y, if it is given tha...

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  11. Expand the following. log1000

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  12. Expand the following. log(128/625)

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  13. Expand the following. logx^(2)y^(3)z^4

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  14. Expand the following. log((p^2q^3)/r^4)

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  15. Expand the following. logsqrt(x^3/y^2)

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  16. if x^(2) + y^(2)= 25xy , then prove that 2 log(x + y) = 3log3 + logx +...

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  17. If log ((x+y)/3)=1/2 (log x +log y) then find the value of x/y+y/x

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  18. If (2.3)^x = (0.23)^y = 1000 , then find the value of 1/x- 1/y

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  19. If 2^(x+1 ) = 3^(1-x) then find the value of x.

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  20. Is (i) log 2 rational or irrational? Justify your answer. (ii) log 1...

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