If log(base 3)8 is approximately 1.8928, evaluate log(base 3)72. Give your answer correct to four decimals.

Expert Answers

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Given `log_3 8~~1.8928` , evaluate `log_3 72` :

`log_3 72=log_3 (8*9)`  Use `log(AB)=logA+logB`

`=log_3 8 + log_3 9`  but `log_3 9=2` since `3^2=9`

`=log_3 8 +2`

`~~3.8928`

Calculator value is 3.892789261

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