Răspuns :
[tex]4^{3x}=8^{10}\Rightarrow(2^{2})^{3x}=(2^{3})^{10}\Rightarrow 2^{2*3x}=2^{3*10}\Rightarrow 2*3x=3*10\Rightarrow x=\frac{3*10}{2*3}=5[/tex]
"4 la puterea 3x = 8 la puterea10"
4³ x =8¹⁰ ⇔ x= 8¹⁰ : 4³ (*)
8¹⁰ =(2³)¹⁰ = 2³⁰
4³ =(2²)³ = 2⁶
Acum, relația (*) devine:
x = 2³⁰ : 2⁶ ⇔ x = 2²⁴
