Question

Ai giup minh tra loi voi:

2^x + 2^x+1=96

4^x+2 × 5 × 4^x = 1280

Answer 1

\(2^x+2^{x+1}=96\)

\(\Rightarrow2^x\left(1+2\right)=96\)

\(\Rightarrow2^x.3=96\)

\(2^x=96:3\)

\(2^x=32\)

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

\(x=5\)

Answer 2

a)2^x+2^x+1=96

2^x+2^x.2=96

2^x.(1+2)=96

2^x=32=2⁵

      Vậy x=5

Answer 3

b)4^x+2 × 5 × 4^x = 1280

4^x.4² × 4^x = 256

4^x.(4²+1)=256

4^x.17=256

4^x=\(\frac{256}{17}\)