\(a,5^{x-1}=125\)
\(\Rightarrow5^{x-1}=5^3\)
\(\Rightarrow x-1=3\)
\(\Rightarrow x=4\)
Vậy x = 4 .
\(b,x^2-2x=0\)
\(\Rightarrow x\left(x-2\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x-2=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=0\\x=2\end{cases}}\)
Vậy x = 0 hoặc x = 2 .
\(c,7^{x+1}+7^x=392\)
\(7^x.7+7^x=392\)
\(7^x.\left(7+1\right)=392\)
\(7^x.8=392\)
\(7^x=49\)
\(7^x=7^2\)
\(\Rightarrow x=2\)
\(5^{x-1}=125\)
\(5^{x-1}=5^3\)
\(\Rightarrow x-1=3\)
\(x=3+1\)
\(x=4\)
\(x^2-2x=0\)
\(x.\left(x-2\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x-2=0\end{cases}\Rightarrow}\orbr{\begin{cases}x=0\\x=2\end{cases}}\)
\(7^{x+1}+7^x=392\)
\(7^x.7+7^x=392\)
\(7^x.\left(7+1\right)=392\)
\(7^x.8=392\)
\(7^x=392\div8\)
\(7^x=49\)
\(7^x=7^2\)
\(\Rightarrow x=2\)
