If log(base 3) 4 is approximately 1.2619, evaluate log(base 3) .25

Give your answer correct to four decimals. ``

### 1 Answer | Add Yours

`log_3 4=1.2619`

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

`=log_3 (1/4)`

`=log_3 4^(-1)`

`=-1xxlog_3 4=-1xx1.2619`

`=-1.2619`

Here we use following formula

`log_a x^m=mlog_a x`

### Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes