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What is the value of log9(27)+log8(32)...

What is the value of `log_9(27)+log_8(32)`

A

`(7)/(2)`

B

`(19)/(6)`

C

4

D

7

Text Solution

Verified by Experts

The correct Answer is:
B
`log_(9)27+log_(8)32`
`=log_(9)3^(3)+log_(8)2^(5)`
`=3log_(9)3+5log_(8)2`
`3log_((3^(""^(2))))3+5log_((2^(""^(3))))2`
`(3)/(2)log_(3)3+(5)/(3)log_(2)2`
`(3)/(2)+(5)/(3)=(19)/(6)`
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