Question

Solve for x: ex = 5.2

Answer 1

x ≈ 1.91, if e refers to 2.718281828...

x = 5.2/e, if e is simply another variable

Explanation:

We are given:

ex = 5.2

Now, if e is referring to the irrational value of e that is about 2.718281828..., then when we divide both sides by e to solve for x, we get:

ex = 5.2

x = 5.2 / 2.718281828... ≈ 1.91

However, if e is simply another varialbe, then we just have:

ex = 5.2

x = 5.2/e

~ an aesthetics lover

Answer 2

x = ln (5.2)

Explanation:

e^x = 5.2

Take the natural log of each side

ln ( e^x) = ln( 5.2)

x = ln (5.2)