Question

tìm số tự nhiên x biết:(3x-4)¹⁰-3=1021

Answer 1

(3x - 4)¹⁰ - 3 = 1021

(3x - 4)¹⁰ = 1024 = 2¹⁰

=>3x - 4 = 2

3x = 6

x = 2

Answer 2

\(\left(3x-4\right)^{10}-3=1021\)

\(\Rightarrow\orbr{\begin{cases}3x-4=\sqrt[10]{1024}\\3x-4=-\sqrt[10]{1024}\end{cases}}\Rightarrow\orbr{\begin{cases}3x-4=2\\3x-4=-2\end{cases}}\Rightarrow\orbr{\begin{cases}3x=6\\3x=2\end{cases}}\Rightarrow\orbr{\begin{cases}x=2\\x=\frac{2}{3}\end{cases}}\) 

Vậy: \(\orbr{\begin{cases}x=2\\x=\frac{2}{3}\end{cases}}\)