Questions: Ordenar de mayor a menor las siguientes cantidades: 1. 2 ln (e^2) 2. log8(64) 3. log (1000) 4. 4 log5(125) A) 4,1,3,2 B) 4,3,1,2 C) 2,1,3,4 D) 2,3,1,4

To solve this problem, we need to evaluate each of the given logarithmic expressions and then compare their numerical values to determine the correct order from largest to smallest.

1. Evaluate \(2 \ln \left(e^{2}\right)\).
2. Evaluate \(\log _{8}(64)\).
3. Evaluate \(\log (1000)\).
4. Evaluate \(4 \log _{5}(125)\).

After evaluating these expressions, we will compare the results and determine the correct order.

\[ 2 \ln \left(e^{2}\right) = 2 \cdot 2 = 4 \]

\[ \log _{8}(64) = \log _{8}(8^2) = 2 \]

\[ \log (1000) = \log (10^3) = 3 \]

\[ 4 \log _{5}(125) = 4 \log _{5}(5^3) = 4 \cdot 3 = 12 \]

Los valores evaluados son:

1. \(2 \ln \left(e^{2}\right) = 4\)
2. \(\log _{8}(64) = 2\)
3. \(\log (1000) = 3\)
4. \(4 \log _{5}(125) = 12\)

Ordenando de mayor a menor: \[ 12, 4, 3, 2 \]

La respuesta correcta es: \[ \boxed{4, 1, 3, 2} \]