Interpretation 1:
![5x = 15 \\](https://img.qammunity.org/2023/formulas/mathematics/college/st3rmavpztrewofff9y0k1yxnwzmqo47vu.png)
Divide both sides by 5:
![\implies \boxed{x = 3}](https://img.qammunity.org/2023/formulas/mathematics/high-school/g7aos2pqhpazdkprjamcn1b11dj2pr97u0.png)
(Which is the final answer.)
![\huge\mathfrak\colorbox{white}{}](https://img.qammunity.org/2023/formulas/chemistry/high-school/11wpfsue0xujtjmhl6jfkwwsh1x87xhuqs.png)
Interpretation 2:
Take logarithm to the base 5 on both sides:
(Which is a thing too!)
![\huge\mathfrak\colorbox{white}{}](https://img.qammunity.org/2023/formulas/chemistry/high-school/11wpfsue0xujtjmhl6jfkwwsh1x87xhuqs.png)
P. S.: Now please don't tell me that this is a PhD level question and this is referring to the Knuth's Up-Arrow Notation. Which translates the question into something like:
![^(5)x=15](https://img.qammunity.org/2023/formulas/mathematics/college/3gczjeczu88d34f8gke0zbxm3gc9xraz98.png)