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Evaluate log(base 5) 81. Round your answer to the nearest four decimals.  

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kristenmarieb... | Student, Grade 10 | Valedictorian

Posted August 18, 2013 at 2:54 PM via web

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Evaluate log(base 5) 81.

Round your answer to the nearest four decimals.  

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llltkl | College Teacher | Valedictorian

Posted August 18, 2013 at 3:07 PM (Answer #1)

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Value of `log_5(81)` has to be evaluated.

`log_5(81)`

`=log_5(3^4)`

`=4*log_5(3)`

`=(4*log_e(3))/(log_e(5))` (using the rule for change of base of logarithms)

`=(4*1.0986123)/1.6094379`

`=2.73042`

`~~2.7304`

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