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Prove that loga frac(25)(21)+loga frac...

Prove that
`log_a frac(25)(21)+log_a frac(9)(35)+log_a frac(49)(15)=0`

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Prove that log_x frac(9)(14)+log_x frac(35)(24)-log_x frac(15)(48)=log_x 3

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

Prove that 7log frac(15)(16)+6log frac(8)(3)+5log frac(2)(5)+log frac(32)(25)=log3

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KALYANI PUBLICATION-LOGARITHMS-EXERCISE
  1. Prove that log(x^2)+log(y^2)+log(z^2)=logxy+logyz+logzx

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

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

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

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

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

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

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

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

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

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

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

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

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  14. Assuming the base as 10,prove that 24 log frac(9)(10)-8log frac(24)(...

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  15. Assuming the base as 10,prove that log 768+log frac(81)(32)+3log fra...

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  16. Assuming the base as 10,prove that 23log frac(16)(15)+17log frac(25)...

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  17. Assuming the base as 10,prove that 20 log 8+45 log 16-18log 32=30(5-...

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  18. Assuming the base as 10,prove that log 12.5=2-3 log 2

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  19. Assuming the base as 10,prove that log 800=2+3 log 2

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  20. Assuming the base as 10,prove that log(1+1/2)+log(1+1/3)+log(1+1/4)+...

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