Question

(2 mũ x+ 1) - 2 mũ x = 32

 

(2 mũ x+ 1) là mũ của 2

 

Answer 1

a) \(2^{x+1}-2^x=32\)

\(\Rightarrow2^x\left(2-1\right)=2^5\)

\(\Rightarrow2^x.1=2^5\)

\(\Rightarrow x=5\)

b) \(2^{x+1}=2\)

\(\Rightarrow2^{x+1}=2^1\)

\(\Rightarrow x+1=1\)

\(\Rightarrow x=0\)

Answer 2

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

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

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

\(2^x=32\)

\(x=5\)

Answer 3

\(2^{2x+1}=\left(2^2\right)^x.2=4^x.2\)

Answer 4

a) 2�+1−2�=322x+1−2x=32

⇒2�(2−1)=25⇒2x(2−1)=25

⇒2�.1=25⇒2x.1=25

$\Rightarrow x=5$

b) 2�+1=22x+1=2

⇒2�+1=21⇒2x+1=21

$\Rightarrow x+1=1$

$\Rightarrow x=0$

theo mik là như này.