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Find the value oflog(1//3)root(4)(729*ro...

Find the value of`log_(1//3)root(4)(729*root(3)(9^(-1)*27^(-4//3)))`.

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MOTION-BASIC MATHEMATIC & LOGARITHM -Exercise - 3
  1. Which is greater log(2)3 " or " log(1//2) 5

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  2. Which is greater log(7) 11 " or " log(8) 5

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  3. Find the value oflog(1//3)root(4)(729*root(3)(9^(-1)*27^(-4//3))).

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  4. The value of a ^(logb (logb x)/(logb a)) is

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  5. Find the value of 4^(5log(4sqrt2)(3-sqrt6)-6log8(sqrt3-sqrt2)).

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  6. Compute the following (81^(1/((log)5 9))+3^(3/((log)(sqrt(6))3)))/(409...

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  7. 5^(log(1/5)(1/2)) +log(sqrt(2)) (4/(sqrt(7)+sqrt(3)))+log(1/2)(1/(10+2...

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  8. a) Calculate: 4^(5log(4sqrt(2))(3-sqrt(6))-6log(e)(sqrt(3)-sqrt(2))) ...

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  9. (a) Which is smaller ? 2 or (log(pi) 2 + log(2) pi). (b) Prove t...

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  10. Let A denotes the value of log10 {(ab+sqrt((ab)^2-4(a+b)))/2}+log10 {l...

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  11. Solve following log equation x^((logx+5)/3)=10^(5+logx)

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  12. If x, where 0,1,2 are respectively the values of x satisfying the equa...

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  13. log(4)(log(2)x)+log(2)(log(4)x)=2

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  14. Solve the equation 5^(x)root(x)(8^(x-1))=500

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  15. Given that log2(3)=a,log3(5)=b,log7(2)=c, express the logrithm of the ...

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  16. If log(b) a. log(c ) a + log(a) b. log(c ) b + log(a) c. log(b) c = 3 ...

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  17. If (loga)/(b-c) = (logb)/(c-a) = (logc)/(a-b), then prove that a^(a)...

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  18. If x = log(3) 4 " and " y = log(5) 3, find the value of log(3) 10 " an...

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  19. If k^(log2 5)=16 , find the value of k^((log2 5)^2)

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  20. If log(10) (x^(2) - 12x + 36) = 2 , find x

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