Question

2^x + 2^x+3 = 144

Tìm \(x\varepsilonℕ\)

giúp mình nhanh nha.

Answer 1

2^x+2^x+3=144

2^x.1+2^x.2³=144

2^x(1+8)=144

2^x.9=144

2^x=144:9

2^x=16

2^x=2⁴

==> x=4

Answer 2

2^x + 2^x+3 = 144

2^x + 2^x.2³ = 144

2^x . (1 + 2³) =  144

2^x                = 144 : 9

2^x                = 16 

2^x                = 2⁴

x                 = 4

Answer 3

\(2^x+2^{x+3}=144\)

\(\Rightarrow2x+1+2^x.2^3=144\)

\(\Rightarrow2x.\left(1+2^3\right)=144\)

\(\Rightarrow2^x.9=144\)

\(\Rightarrow2^x=144:9\)

\(\Rightarrow2^x=16\)

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

\(\Rightarrow x=4\)