Question

What
is the value of In e^4

Answer 1

`\displaystyle lne^4 = 4`

General Formulas and Concepts:

Algebra II

Natural Logarithms ln and Euler's number e

• Logarithmic Property [Exponential]:
  `\displaystyle log(a^b) = b \cdot log(a)`

Explanation:

Step 1: Define

Identify

`\displaystyle lne^4`

Step 2: Evaluate

1. Rewrite [Logarithmic Property - Exponential]:
   `\displaystyle 4lne`
2. Simplify:
   `\displaystyle 4(1)`