Question

Mong mọi người giúp em với với!

    \(5^x+5^{x+2}=650\)

Answer 1

Ta có : 

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

\(\Rightarrow5^x+5^x.5^2=650\)

\(\Rightarrow5^x\left(25+1\right)=650\)

\(\Rightarrow5^x=25\)

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

\(\Rightarrow x=2\)

Vậy \(\Rightarrow x=2\)

 

Answer 2

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

\(5^x+5^x.5^2=650\)

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

\(\Rightarrow5^x.26=650\)

\(\Rightarrow5^x=25\)

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

\(\Rightarrow x=2\)

Vậy x = 2

Answer 3

5^x+5^x+2=650

5^x+5^x+2=5⁴+5²

^=>x+x+2=4+2

^=>2x=4

^{=>  x= 4:2}

^{=>  x=2}

         ^{vậy x=2}