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The first and the last terms of a G.P a...

The first and the last terms of a G.P are a and k respectively if the number of terms be n prove that `n=1+(logk-loga)/(logr)` where r is the common ratio

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CHHAYA PUBLICATION-LOGARITHM -Short Answer Type Question
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  5. If a^(4)+b^(4)=14a^(2)b^(2)show that log(e )(a^(2)+b^(2))=log(e )a+l...

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  6. If (logx)/(y-z) = (logy)/(z-x) = (logz)/(x-y), then prove that xyz ...

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  7. If (logx)/(b-c)=(logy)/(c-a)=(logz)/(a-b) prove that (a) x^(a)y^(b)z...

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  8. If a sequence of posivtive numbers are in G.P show that their logar...

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  9. The first and the last terms of a G.P are a and k respectively if the...

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  10. Prove that : (viii) (log(a)x)/(log(ab)x) = 1+log(a)b.

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  12. If log(x^(2)y^(3))=a and log(x)./(y)=b find log x and logy in terms of...

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  13. If x=(e^(y)-e^(-y))/(e^(y)+e^(-y)) show that y=1/2log(e )((1+x)/(1-x))

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  14. If log(a)b=10 and log(6a)(32b)=5 find the value of a

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  15. If the logarthim of a^(2) top the base b^(3) and the logarithm of b^(...

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  16. Solve : log(10)x-log(10)sqrt(x)=(2)/(log(10)x)

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  17. Solve : log(2)log(2)log(2)x=-1

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  18. Solve : log(8)x+log(4)x+log(2)x=11

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  19. Solve : (1)/(log(x)10)+2=(2)/(log(0.5)(10))

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  20. Prove that log(10)2gt0.3

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