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Find the values : (log(a)b)xx(log(b)...

Find the values :
`(log_(a)b)xx(log_(b)c)xx(log_(c )d)xx(log_(d)a)`

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CHHAYA PUBLICATION-LOGARITHM -Short Answer Type Question
  1. Find the values : log(3)root(4)((729)root(3)(9^(-1).(27)^(-4/3)))

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  2. Find the values : log(2)[log(2){log(3)(log(3)27^(3))}]

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  3. Find the values : (log(a)b)xx(log(b)c)xx(log(c )d)xx(log(d)a)

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  4. Calculate : (i) (logsqrt(27)+log8-logsqrt(1000))/(log 1.2)

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  5. Find the values : log(6)sqrt(6sqrt(6…infty))

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  6. Find the values : log(10)385/5+log(10)81/32+3log(10)5/3+log(10)1/9

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  7. Prove that log2+16log (16/15)+12log(25/24)+7log(81/80)=1

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  8. Prove that log(36/25)^(3)+3log(2/9)-log2=2log(16/125)

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  9. Prove that log(75/16)-2log(5/9)+log(32/243)=log2

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  10. Prove that x^(log y-logz)xxy^(logz-logx)xxz^(logx-logy)=1

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  11. Prove that log(a^(2)/(bc))+log(b^(2)/(ca))+log(c^(2)/(ab))=0

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  12. Prove that log(2)log(2)log(4)256+2log(sqrt2)2=5

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  13. Prove that (v) 1/(log(xy)(xyz)) + 1/(log(yz)(xyz)) + 1/(log(zx)(xyz)...

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  14. Prove that log(b^(3))axxlog(c^(3))bxxlog(a^(3))c=1/27

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  15. Prove that log a+log a^(2)+loga^(3)+….+loga^(n)=(n(n+1))/(2)loga

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  16. Prove that log a+log a^(3)+loga^(5)+….+loga^(2n-1)=n^(2) loga

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  17. Prove that log(1/y)x xx log(1/z)yxx log(1/x)z=-1

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  18. Prove that log(x^(2))x xx log(y^(2))yxx log(z^(2))=1/8

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  19. Given log(10)2=0.30103 , log(10)e=0.43429, find the value of log(e )(...

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  20. If a^(2)+b^(2)=7ab show that log[1/3(a+b)]=1/2(log a+logb)

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