5x . ( 53 )2 = 625
<=> 5x . 56 = 625
<=> 5x+6 = 625
<=> 5x+6 = 54
<=> x + 6 = 4
<=> x = -2
\(5^x.\left(5^3\right)^2=625\)
\(\Leftrightarrow5^x.5^6=625\)
\(\Leftrightarrow5^x=\frac{1}{5^2}\)
\(\Leftrightarrow x=-2\)
\(5^x\times\left(5^3\right)^2=625\)
\(\Rightarrow5^x\times5^6=625\)
\(5^{x+6}=5^4\)
\(\Rightarrow x+6=4\)
\(x=-2\)
Vậy x = -2
Bài làm :
Ta có :
\(5^x.\left(5^3\right)^2=625\)
\(\Leftrightarrow5^x.5^6=5^4\)
\(\Leftrightarrow5^{x+6}=5^4\)
\(\Leftrightarrow x+6=4\)
\(\Leftrightarrow x=-2\)
Vậy x= - 2
Chúc bạn học tốt !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
\(5^x.\left(5^3\right)^2=625\)
\(5^x.5^6=625\)
\(5^x.5^6=5^4\)
\(x+6=4\)
\(x=4-6 \)
\(x=-2\)
vậy \(x=-2\)