The value of $l o g_{3} 4 l o g_{4} 5 l o g_{5} 6 l o g_{6} 7 l o g_{7} 8 l o g_{8} 9$ is

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Solution

The correct option is B 2
$l o g_{3} 4. l o g_{4} 5. l o g_{5} 6. l o g_{6} 7. l o g_{7} 8. l o g_{8} 9$
$= \frac{l o g 4}{l o g 3} . \frac{l o g 5}{l o g 4} . \frac{l o g 6}{l o g 5} . \frac{l o g 7}{l o g 6} . \frac{l o g 8}{l o g 7} . \frac{l o g 9}{l o g 8} = \frac{l o g 9}{l o g 3}$
$= l o g_{3} 9 = l o g_{3} 3^{2} = 2$

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l o g_{3} 4 l o g_{4} 5 l o g_{5} 6 l o g_{6} 7 l o g_{7} 8 l o g_{8} 9

l o g_{3} 4 l o g_{4} 5 l o g_{5} 6 l o g_{6} 7 l o g_{7} 8 l o g_{8} 9

A B C

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