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Value of [log(e^3)5^8 - log(e^3)2^8] equ...

Value of `[log_(e^3)5^8 - log_(e^3)2^8]` equals to

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The correct Answer is:
`8/3ln(5/2)`
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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The points (3,2),(5,3),(3+2t ,2+t)a n d(3+2t^2,2+t^2) may be (A.) Vert...

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  2. The coordinates of the point on the curve x^(3)=y(x-a)^(2) where the o...

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  3. Value of [log(e^3)5^8 - log(e^3)2^8] equals to

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  4. Let P1 denote the equation of a plane to which the vector ( hat i+ ...

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  5. Find the name of the conic represented by sqrt((x/a))+sqrt((y/b))=1.

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  6. Let vec a , vec b , vec c be three linearly independent vectors, tehn...

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  7. intsqrt((cosx-cos^3x)/(1-cos^3x))dxi se q u a lto 2/3sin^(-1)(cos^(3...

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  8. The area bounded by the curves y""=""cos""x""a n d""y""=""s in""x betw...

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  9. Let coefficient of a^4b^2c^2d^6 in (a+b+c+d)^(14) i s A Then is 'A' ...

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  10. Let f(x)=sqrt(|x|-|x+)(w h e r e{dot} denotes the fractional part of (...

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  11. Square of the distance between the integral points of intersection o...

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  12. int 1/ sqrt (a^2 + x^2) dx = log ( x + sqrt(x^2 + a^2)) + c

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  13. The expression (x+((x^3-1)^(1/2))/2)^5+""(x-((x^3-1)^(1/2))/2)^5 is a ...

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  14. Let alpha=l tsum(r=1)^(r-n)1/(r(r+1)) be root of a x^2+b x+c=0,b ,c ar...

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  15. If veca,vecb and vecc are non coplaner vectors such that vecbxxvecc=ve...

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  16. A vector of magnitude sqrt(2) coplanar with the vecrtor vec a= hat i+...

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  17. vecalpha and vecbeta are two unit vectos and vecr is a vector such tha...

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  18. If vec a= hat i+ hat j+ hat k , vec b=4 hat i+3 hat j+4 hat k and ve...

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  19. In the expansion of (1+x+x^3+x^4)^10, the coefficient of x^4 is ^40C4 ...

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  20. "Let " f(x) ={underset("log(1//2) (X +(1)/(2)), 0 lt X lt (3)/(2))unde...

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