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

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kristenmarieb... | Student, Grade 10 | Valedictorian

Posted August 23, 2013 at 6:03 PM via web

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


Give your answer correct to four decimals. ``

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aruv | High School Teacher | Valedictorian

Posted August 23, 2013 at 6:11 PM (Answer #1)

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`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`

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