Rozwiąż :
a) (8)ˣ = 32 √2 / ⁶√8
(2³)ˣ = 2⁵ * 2¹/² : (2³)¹/⁶
2³ˣ = 2⁵⁺¹/² : 2³*¹/⁶
2³ˣ = 2¹⁰/²⁺¹/² : 2³/⁶
2³ˣ = 2¹¹/² : 2¹/²
2³ˣ = 2¹¹/²⁻¹/²
2³ˣ = 2¹⁰/²
2³ˣ = 2⁵
3 x = 5 /: 3
x = 5/3
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b) 4^√3 : 2² - 2 √3 * 16 * 8⁻³ =
= (2²)^√3 : 2² - 2√3 * 2⁴ * (2³)⁻³ =
= (2)^2√3 : 2² - 2√3 * 2⁴ * 2⁻⁹ =
= (2)^[2√3 - 2] - 2 √3 * 2⁴⁺⁽⁻⁹⁾ =
= (2)^[2√3 - 2] - 2 √3 * 2⁻⁵ =
= (2)^[2 √3 - 2] - 2¹⁻⁵ * √3 =
= (2)^[2 √3 - 2] - 2⁻⁴ * √3
