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The value of 5^((log)(1/5)(1/2))+(log)(s...

The value of `5^((log)_(1/5)(1/2))+(log)_(sqrt(2))4/(sqrt(7)+sqrt(3))+(log)_(1/2)1/(10+2sqrt(21))` is.........

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Verified by Experts

a)`5^(log_(1/5)^(1/2)`
`5^(log_3^2)`
`2`
b)`log_sqrt2 (4/(sqrt7+sqrt3))`
`log_2(sqrt7-sqrt3)`
`log_2(sqrt7-sqrt3)^2`
`log_2(10-2sqrt21)`
c)`log_(1/2)(1/(10+2sqrt21))`
...
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CENGAGE PUBLICATION-LOGARITHM-All Questions
  1. The least integer greater than (log)2(15)* (log)(1/6)2 * (log)3 1/6 i...

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  2. The reciprocal of 2/((log)4(2000)^6)+3/((log)5(2000)^6) is ..............

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  3. The value of 5^((log)(1/5)(1/2))+(log)(sqrt(2))4/(sqrt(7)+sqrt(3))+(lo...

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  4. The value of N=((log)5 250)/((log)(50)5)-((log)5 10)/((log)(1250)5) is...

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  5. If xa n dy are real numbers such that 2log(2y-3x)=logx+logy ,then fin...

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  6. If loge((a+b)/2)=1/2(loge a+loge b), then find the relation between a ...

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  7. If 2x^((log)4 3)+3^((log)4x)=27 , then x is equal to

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  8. The value of loga b-log|b|=

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  9. If (21. 4)^a=(0. 00214)^b=100 , then the value of 1/a-1/b is

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  10. Given that log(2)=0. 3010 , the number of digits in the number 2000^(...

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  11. The number of N=6-(6(log)(10)2+(log)(10)31) lies between two successi...

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  12. (log)4 18 is

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  13. Solve: (log)((2x+3))(6x^2+23x+21)+(log)((3x+7))(4x^2+12 x+9)=4

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  14. Given aa n db are positive numbers satisfying 4(log(10)a)^2+((log)2b)...

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  15. If ((log)a N)/((log)c N)=((log)a N-(log)b N)/((log)b N-(log)c N),w h e...

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

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  17. Solve for: x :(2x)^((log)b2)=(3x)^((log)b3) .

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  18. Let a=(log)3(log)3 2. An integer k satisfying 1<2^(-k+3^((-a)))<2, mus...

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  19. The value of 6+(log)(3/2)[1/(3sqrt(2)) * sqrt{ (4 - 1/(3sqrt(2))) sqr...

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  20. (log)(x-1)x (log)(x-2)(x-1) .....(log)(x-12)(x-11)=2,x is equal to:

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