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Determine x if log5 {log3 (log2 x)}=0...

Determine x if
`log_5 {log_3 (log_2 x)}=0`

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KALYANI PUBLICATION-LOGARITHMS-EXERCISE
  1. Determine x if log36 (log2) x=1/2

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  2. Determine x if log25 (log3 x)=1/2

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  3. Determine x if log5 {log3 (log2 x)}=0

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  4. Determine x if log3 {log2 (log2 x)}=1

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  5. Prove that loga frac(51)(16)+loga frac(44)(85)-loga frac(33)(40)=log...

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  6. Prove that logx frac(9)(14)+logx frac(35)(24)-logx frac(15)(48)=logx...

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  7. Prove that loga frac(p^2)(qr)+loga frac(q^2)(rp)+loga frac(r^2)(pq)...

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  8. Prove that log(x^2)+log(y^2)+log(z^2)=logxy+logyz+logzx

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  9. Prove that (log a)^2-(log b)^2=log (ab) log(a/b)

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  10. Prove that loga frac(25)(21)+loga frac(9)(35)+loga frac(49)(15)=0

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

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  12. Show that 7log(10/9)-2log(25/24)+3log(81/80)=log2

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  13. Prove that 7log frac(16)(15)+5log frac(25)(24)+3log frac(81)(80)=log...

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  14. Prove that 16log frac(16)(15)+12log frac(25)(24)+7log frac(81)(80)=l...

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  15. Prove that 7log frac(15)(16)+6log frac(8)(3)+5log frac(2)(5)+log fra...

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  16. Prove that log frac(384)(5)+log frac(513)(32)+log frac(5)(27)-log fr...

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  17. Prove that log{a+sqrt(a^2+1)}=-log{sqrt(a^2+1)-a}

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  18. Assuming the base as 10,prove that log frac(81)(8)-2log frac(3)(2)+3...

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  19. Assuming the base as 10,prove that log2+16log frac(16)(15)+12log fra...

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  20. Assuming the base as 10,prove that log20+7log frac(15)(16)+5log frac...

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