Evaluate the following logarithmic expression
loge(2)
Evaluate loge(2) using the Change of Base Formula
The formula for the change of base rule in logb(x) is as follows:
| logb(x) = | Ln(x) |
| Ln(b) |
Given b = e and x = 2, we have:
| loge(2) = | Ln(2) |
| Ln(e) |
Ln(e) = 1
| loge(2) = | 0.69314718055995 |
| 1 |
Final Answer
0.69314718055995
