Question

ln(4x+15)=7

Answer 1

Do \[\ln(e^{4x+15})=e^7\]

Answer 2

you subtract 15 on both sides. so that's going to be 4x = -8. so then what you do is you divide 4 on both sides so you should get x = -2

Answer 3

Not quite..^

The ln and e on the right on the equation i wrote above cancels out, leaving you with

4x+15=e^7
4x=e^7-15
x=(e^7-15)/4

Answer 4

where did u get e though?

and sorry. I wasn't sure if that ln is included in the original equation.

Answer 5

No. Take anti log of both tems,i.e. e^Ln(4x+15) = e^7. This evaluates to (4x+15)=e7. Now subtract 15 from both sides and divide eveything by 4. x = (e^7)-15/4

Answer 6

ln is the natural log, its the same as \[\log _{e}\]