Question

giá trị của x thỏa mãn

\(2^{3x+2}=4^{x+5}\)

giúp mình giải nha

Answer 1

\(^{2^{3x+2}=4^{x+5}}\)

\(^{ }\Rightarrow\)\(2^{3x}.2^2=4^x.4^5\)

\(\Rightarrow\)\(2^{3x}:4^x=4^5:2^2\)

\(\Rightarrow\)\(^{2^{3x}:2^{2x}=2^{10}:2^2}\)

\(\Rightarrow\)\(^{2^x=2^8}\)

\(\Rightarrow\)x=8

Vậy x=8

Answer 2

\(2^{3x+2}=4^{x+5}\)

\(\Rightarrow\left(2^3\right)^x.2^2=4^x.4^5\)

\(\Rightarrow4^x.2^x.2^2=4^x.4^5\)

Chia hai vế cho 4^x

\(\Rightarrow2^{x+2}=4^5\)

\(\Rightarrow2^{x+2}=2^{10}\)

\(\Rightarrow x+2=10\)

\(\Rightarrow x=8\)

Answer 3

2^3x+2 = 4^x+5

2^3x+2 = (2²)^x+5

2^3x+2 = 2^2x+10

=> 3x+2 = 2x+10

=> 3x - 2x = 10 - 2

=> x = 8

Vậy x = 8

Answer 4

2^3x+2 = 4^x+5

2^3x+2 = (2²)^x+5

2^3x+2 = 2^2x+10

=> 3x+2 = 2x+10

=> 3x - 2x = 10 - 2

=> x = 8

Vậy x = 8