Question

\(tìm\)\(x\in N\)biết:

a) \(2^x.4=128\)

b)\(2^x.2^{2^2}=2^{3^2}\)

c)\(\left(x^5\right)^{10}=x\)

giải nhanh giúp mik

Answer 1

a)2^x.4=128

2^x=128:4

2^x=32

2^x=2⁵

=>x=5

\(2^x.2^{2^2}=2^{3^2}\)

\(\Rightarrow2^x.2^4=2^9\)

\(\Rightarrow2^x=2^9:2^4\)

\(\Rightarrow2^x=2^5\)

\(\Rightarrow x=5\)

\(\left(x^5\right)^{10}=x\)

\(\Rightarrow x^{50}=x\)

\(\Rightarrow x.\left(x^{49}-1\right)=0\)

\(\Rightarrow\orbr{\begin{cases}x=0\\x^{49}-1=0\end{cases}\Rightarrow\orbr{\begin{cases}x=0\\x^{49}=1\end{cases}}}\)

\(\Rightarrow\orbr{\begin{cases}x=0\\x=1\end{cases}}\)

Answer 2

a) 2^{x .} 4 = 128

2^x = 128 : 4

2^x = 32

Answer 3

a) x = 5

b) x = 5

c) x = 0 hoặc 1 nha

Answer 4

k cho mik nha