Question

Solve the equation for x. Round to 2 decimal places if necessary. I have no idea how to do this.

ln(e^(x))=-4.

Answer 1

Alright lets get started: Are you familiar with the use of the natural logarithm?

Answer 2

Only what I can put into a calculator. So not much.

Answer 3

Ok so lets start off with a basic law: ln(e) = 1.

Answer 4

Second law we will use: ln(a^b) = bln(a)

Answer 5

Now put these two laws to use and solve the equation. Let us know if you get stuck.

Answer 6

xln(e), right?

Answer 7

Yes, correct. xln(e) = 4. Now use the first law which is quoted.

Answer 8

X=4?

Answer 9

Right you are! :-)