Question

\(5^x+5^{x+1}=150\)

Answer 1

Giải:

\(5^x+5^{x+1}=150\)

\(\Leftrightarrow5^x\left(1+5^1\right)=150\)

\(\Leftrightarrow5^x.6=150\)

\(\Leftrightarrow5^x=\dfrac{150}{6}\)

\(\Leftrightarrow5^x=25\)

\(\Leftrightarrow5^x=5^2\)

Vì \(5=5\)

Nên \(x=2\)

Vậy \(x=2\).

Chúc bạn học tốt!

Answer 2

5^x + 5^{x + 1} = 150

5^x . 1 + 5^x . 5 = 150

5^x . (1 + 5) = 150

5^x . 6 = 150

5^x = 150 : 6

5^x = 25

\(\Rightarrow\) 5^x = 5²

\(\Rightarrow\) x = 2.

Answer 3

5^x+5^x+5=150

5^x.(5+1)=150

5^x=150:6

5^x=25

5^x=5^2

Suy ra x=2