Homework Help

ln (2x-1) = 3

user profile pic

damdoomdima | Student, Grade 11 | (Level 2) Honors

Posted July 15, 2010 at 8:16 AM via web

dislike 0 like

ln (2x-1) = 3

2 Answers | Add Yours

user profile pic

hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted July 15, 2010 at 8:19 AM (Answer #1)

dislike 1 like

ln (2x-1) = 3

We coudl rewrite ln x=y as  x= e^y

==> 2x-1 = e^3

 Now add 1 to both sides:

==> 2x = e^3 + 1

Now divide by 2:

==> x = (e^3 + 1)/2

==>  x = 10.54 (approx.)

user profile pic

neela | High School Teacher | (Level 3) Valedictorian

Posted July 15, 2010 at 8:23 AM (Answer #2)

dislike 0 like

ln(2x-1) =3

To solve  this we go for the antilogarithm on both sides.

2x-1 = e^3 by definition.

2x= e^3+1

x  = (e^3+1)/2

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes