Question

2^x+3-3.2^x+1=32

 

Answer 1

\(2^{x+3}-3.2^{x+1}=32\)

<=> 2^x.2^3-3.2^x.2=32

<=> 2^x.(2^3-3.2)=32

<=> 2^x.2=32

<=>2^x=16

<=>2^x=2^4

=>x=4

Vậy...

Answer 2

2^x+3-3.2^x+1=32

= 2^x . 2³ - 3. 2¹ .2^x = 32

2^x . 8 - 6 . 2^x = 32

2^x . (8 - 6 ) = 32

2^x . 2 = 32

2^x+1 = 32

vì 32 = 2⁵ => x + 1=5

                      x = 5-1

                      x = 4

Answer 3

\(2^{x+3}-3.2^{x+1}=32\)

\(2^x.2^3-3.2^x.2=32\)

\(2^x.8-6.2^x=32\)

\(2^x.\left(8-6\right)=32\)

\(2^x.2=32\)

\(2^x=16\)

\(2^x=2^4\)

\(\Rightarrow x=4\)