\(5^{x+1}+5^{x+2}=750\)
\(\Leftrightarrow5^x.5^1+5^x.5^2=750\)
\(\Leftrightarrow5^x.5+5^x.25=750\)
\(\Leftrightarrow5^x.\left(5+25\right)=750\)
\(\Leftrightarrow5^x.30=750\)
\(\Leftrightarrow5^x=750:30\)
\(\Leftrightarrow5^x=25\)
\(\Leftrightarrow5^x=5^2\)
\(\Rightarrow x=2\)
5x + 1 + 5x + 2 = 750
=> 5x . 5 + 5x . 52 = 750
=> 5x . (5 + 52) = 750
=> 5x . (5 + 25) = 750
=> 5x . 30 = 750
=> 5x = 750 : 30
=> 5x = 25
=> 5x = 52
=> x = 2
Vậy x = 2
\(5^{x+1}+5^{x+2}=750.\)
\(5^x.5+5^x.5^2=750\)
\(5^x.\left(5+5^2\right)=750\)
\(5^x.\left(5+25\right)=750\)
\(5^x.30=750\)
\(5^x=750:30\)
\(5^x=25\)
\(\Rightarrow x=2\)
5X+1 + 5X+2 = 750
5^x . 5 + 5^x . 25 = 750
5^x . ( 5 + 25 ) = 750
5^x . 30 = 750
5^x = 750 : 30
5^x = 25
=> x =2
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