Question

Tìm x thuộc Q : 5^x + 5^x+2 = 650

Answer 1

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

\(\Rightarrow5^x+5^x\cdot5^2=650\)

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

\(\Rightarrow5^x\cdot26=650\)

\(\Rightarrow5^x=25\Leftrightarrow x=2\)

Answer 2

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

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

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

=>\(5^x.26=650\)

=>\(5^x=650:26=25=5^2\)

=>\(x=2\)

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Answer 3

\(5^x+5^{x+2}=650\Leftrightarrow5^x\left(1+5^2\right)=650\Leftrightarrow5^x.\left(1+25\right)\Leftrightarrow5^x.26=620\)

\(\Leftrightarrow5^x=\dfrac{650}{26}=25=5^2\Rightarrow x=2\) vậy \(x=2\)

Answer 4

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

\(\Leftrightarrow5^x.1+5^x.5^2=650\)

\(\Leftrightarrow5^x.1+5^x.25=650\)

\(\Leftrightarrow5^x\left(1+25\right)=650\)

\(\Leftrightarrow5^x.26=650\)

\(\Leftrightarrow5^x=25\)

\(\Leftrightarrow x=2\)