Question

0,5<8^2x<4 por favor mi ajudem

Answer 1

$0,5\ \textless \ 8^{2x}\ \textless \ 4 \\\\ \frac{1}{2}\ \textless \ (2^{3})^{2x}\ \textless \ 2^{2} \\\\ 2^{-1}\ \textless \ 2^{6x}\ \textless \ 2^{2} \\\\ -1\ \textless \ 6x\ \textless \ 2 \\\\ \boxed{\boxed{-\frac{1}{6}\ \textless \ x\ \textless \ \frac{1}{3}}}$

Answer 2

0,5<8^2x<4

 1   < (2³)^2x < 2²
---
 2

2^-1 < 2^6x  <  2


_____________________
|        1                   1          |
| -   ------  < x  <  ------       |
|        6                   3          |
|______________ ______|