If log(base 3) 4 is approximately 1.2619, evaluate log(base 3) .25. Give your answer correct to four decimals.

2 Answers

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aruv | High School Teacher | (Level 2) Valedictorian

Posted on

`log_3 4=1.2619`

`log_3 .25=log_3 (25/100)`

`=log_3 (1/4)=log_3 4^(-1)=-1xxlog_3 4`

`=-1.2619` =-1.2619

because

`log_3(x/y)=log_3 x-log_3 y`

`log_3 x^m=mlog_3 x`  

`1/x^n=x^(-n)`

Answer is -1.2619