Question

Please answer the question correctly while showing detailed working. ​

Answer 1

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

Answer 2

$\\ \sf\longmapsto \dfrac{8^{2x+1}}{64}=8^3$

$\\ \sf\longmapsto \dfrac{8^{2x+1}}{8^2}=8^3$

• a^m÷a^n=a^{m-n}

$\\ \sf\longmapsto 8^{2x+1-2}=8^3$

$\\ \sf\longmapsto 8^{2x-1}=8^3$

$\\ \sf\longmapsto 2x-1=3$

$\\ \sf\longmapsto 2x=3+1$

$\\ \sf\longmapsto 2x=4$

$\\ \sf\longmapsto x=\dfrac{4}{2}$

$\\ \sf\longmapsto x=2$