Question

Question #b9291

Answer 1

`x = -2`

Explanation:

Solving this is reasonably easy when you observe `1/e^2` is equivalent to `e^-2` using exponent laws or more specifically the idea of `1/x^c = x^-c`.

Then, one should understand the relation of `ln` to `e`. In layman's terms, you can think of `ln` and `e` "cancelling" each other. One should also understand that you can bring down exponents in a natural log or any log to the "base".

In math, you can say:

`ln(e^-2) = -2ln(e)`, and that `ln(e) = 1`. Therefore, from this, we can say that `-2 = x`.