Question

find the value of x= 8^2x+1÷ 512=8^6

Answer 1

this is the solution, hope this help you
Thanks for questioning..

Answer 2

$\mathfrak{Answer}$

${x}$ = 4

$\longrightarrow$$\frac{8^{2x+1}}{512}$ = 8⁶

$\longrightarrow$$\frac{8^{2x+1}}{8^3}$ = 8⁶

$\longrightarrow$${8^{2x\times8-3}}$ = 8⁶

$\longrightarrow$${8^2x^1^-^3}$ = 8⁶

$\bold{Compare~the~powers~of~both~sides-}$

$\longrightarrow{2x-2=6}$

$\longrightarrow{2x=6+2}$

$\longrightarrow{2x=8}$

$\longrightarrow{x=}$ $\frac{4}{2}$ 2 once are 2, and 2 fours are 8 = ${4}$