Üslü Sayılarda İşlem ve Sıralama

8. $a, b$ ve $c$ gerçel sayıları için,

$$\begin{array}{|c|c|}\hline a & b \\ \hline \end{array} = a^b$$

biçiminde tanımlanıyor.

$$\begin{array}{|c|c|}\hline a & b \\ \hline \end{array} = 5$$

$$\begin{array}{|c|c|}\hline a & b+1 \\ \hline \end{array} = 10$$

$$\begin{array}{|c|c|}\hline a & b+c \\ \hline \end{array} = 15$$

olduğuna göre, aşağıdaki sıralamalardan hangisi doğrudur?

A) $a < b < c$

B) $a < c < b$

C) $b < a < c$

D) $c < a < b$

E) $c < b < a$

Soruda görsel içerik var: The image shows a mathematical problem involving custom-defined box operations for variables a, b, and c. A large rectangle divided into two boxes containing 'a' and 'b' is defined as equal to a^b. Below this definition, three specific instances of this operation are given: 1) A rectangle with 'a' and 'b' equals 5. 2) A rectangle with 'a' and 'b+1' equals 10. 3) A rectangle with 'a' and 'b+c' equals 15. The question asks for the correct ordering of a, b, and c.