Question

Tìm \(x\), biết :

\(2^{x+1}-2^x=32\)

Answer 1

mik làm nhắng ko bt đúng ko

\(2^{x+1}-2^x=32\)

\(2^x.2^1-2^x.1=32\)

\(2^x\left(2^1-1\right)=32\)

\(2^x.1=32\)

\(2^x=32\)

\(2^x=2^5\)

\(\Rightarrow x=5\)

Answer 2

\(2^{x+1}-2^x=32\)

\(\Leftrightarrow2^x.\left(2-1\right)=2^5\)

\(\Leftrightarrow2^x.1=2^5\)

\(\Leftrightarrow2^x=2^5\)

\(\Leftrightarrow x=5\)