Question

(8x • 4 la puterea 3)totul la puterea 2 :16 la 3=64 DAU COROANA AJUTAȚI MA VA ROG!!!!!

Answer 1

(8x·4³)² : 16³ = 64

64x²·4⁶ : 4⁶ = 64

64x² = 64

x² = 1

x = ± 1

Answer 2

$\dfrac{\left(8x\cdot 4^{3}\right)^2}{16^3}=64\\ \\ \Leftrightarrow\,\dfrac{8^2x^2\cdot (4^{3})^2}{16^3}=64 \\ \\ \Leftrightarrow\,\dfrac{64x^2\cdot 4^{6}}{(4^2)^3}=64\\ \\ \Leftrightarrow\, \dfrac{64x^2\cdot 4^{6}}{4^6}=64\\ \\ \Leftrightarrow\,64x^2 = 64\\ \\ \Leftrightarrow\,x^2 = 1\\ \\ \Leftrightarrow\, x = \pm 1\\ \\ \Rightarrow\,\boxed{x\in \{-1,\, 1\}}$