Question

Tìm x biết :

5^x + 5^x+2 =650

Answer 1

\(5^x+5^{x+2}=650\)

\(\Rightarrow5^x.1+5^x.5^2\)

\(\Rightarrow5^x\left(1+5^2\right)=650\)

\(\Rightarrow5^x=\frac{650}{26}\)

\(\Rightarrow5^x=25\)

\(\Rightarrow5^x=5^2\)

\(\Rightarrow x=2\)

Answer 2

\(5^x+5^{x+2}=650\Leftrightarrow5^x\left(1+5^2\right)=650\\ \Leftrightarrow5^x.26=650\\ \Leftrightarrow5^x=25\\ \Leftrightarrow5^x=5^2\Leftrightarrow x=2\)

Vây x=2

Answer 3

5^x + 5^x+2 = 650

=>5^x(1+5²)= 650

=> 5^x.26 = 650

=> 5^x = 25

=> x=2