#### To determine

**To find:** We have to solve equation eex=10, for x.

#### Answer

The solution of the equation is x=lnln10.

#### Explanation

**Calculation:**

We have to solve equation eex=10,

**Step 1:** Taking natural logarithmic on both sides of the equation, we have

**ln eex=ln10 (1)**

We know that

lnex=x (A)

Thus, using this formula in equation (1), we have

ex=ln10. (2)

**Step 2:** Again **t** aking natural logarithmic on both sides of the equation (2), we have

lnex=lnln10.

**Step 3-:** Again using formula (A), we have

x=lnln10.

**Conclusion:**

The solution of the equation is x=lnln10.