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 Options: A . &nbsp1 B . &nbsp2 C . &nbsp3 D . &nbsp4

Answer: Option B : B 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 4 l o g 3 . l o g 5 l o g 4 . l o g 6 l o g 5 . l o g 7 l o g 6 . l o g 8 l o g 7 . l o g 9 l o g 8 = l o g 9 l o g 3 = l o g 3 9 = l o g 3 3 2 = 2

The value of log3 4log4 5log5 6log6 7log7 8log8 9

Question

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

Options:

A . 1

B . 2

C . 3

D . 4

Answer: Option B
:
B

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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