Solve x if ln(ln(x)) = 4

### 2 Answers | Add Yours

Given the equation:

ln (lnx) = 4

We need to solve for s.

First we will rewrite in the logarithm form.

==> ln(x) = e^4

Now we will rewrite into the exponent form.

**==> x = e^(e^4) **

We have ln (ln (x)) = 4

ln x has a base of e.

Taking the antilog of both the sides

=> ln (x ) = e^ 4

Taking the antilog of both the sides again

=> x = e^ ( e^4)

**The required value of x is e^(e^4).**

### Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes