Please answer the question correctly while showing detailed working.

Answer: 2
Step-by-step explanation:
8^2x+1 / 8^2 = 8^3
8^2x+1 = 8^5
2x+1= 5
2x= 4
x= 2
[tex]\\ \sf\longmapsto \dfrac{8^{2x+1}}{64}=8^3[/tex]
[tex]\\ \sf\longmapsto \dfrac{8^{2x+1}}{8^2}=8^3[/tex]
[tex]\\ \sf\longmapsto 8^{2x+1-2}=8^3[/tex]
[tex]\\ \sf\longmapsto 8^{2x-1}=8^3[/tex]
[tex]\\ \sf\longmapsto 2x-1=3[/tex]
[tex]\\ \sf\longmapsto 2x=3+1[/tex]
[tex]\\ \sf\longmapsto 2x=4[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{4}{2}[/tex]
[tex]\\ \sf\longmapsto x=2[/tex]