Homework Help

expand : log (√(ab)/e^2)

user profile pic

swavers | Student, Grade 11 | (Level 1) Honors

Posted February 16, 2011 at 12:12 PM via web

dislike 1 like

expand : log (√(ab)/e^2)

1 Answer | Add Yours

Top Answer

user profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted February 16, 2011 at 12:21 PM (Answer #1)

dislike 1 like

We have to expand log (sqrt (ab)/e^2). I assume the base of the logarithm here is e.

log(e) [(sqrt (ab)/e^2)]

We use the relations log ab = log a + log b, log a/b = log a - log b and log x^n = n*log x

=> log(e) [sqrt (ab)] - log(e) e^2

=> (1/2)*log(e) [ ab] - 2*log(e) e

=> (1/2)*log(e) a - (1/2)*log(e) b - 2

The required result is (1/2)*log(e) a - (1/2)*log(e) b - 2

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes