Question

Tìm x

55^2x:11^2x=625

Answer 1

Tìm x : 

\(55^{2x}:11^{2x}=625\)

\(\Leftrightarrow\left(55:11\right)^{2x}=625\)

\(\Leftrightarrow5^{2x}=625\)

\(\Leftrightarrow5^{2x}=5^4\)

\(\Rightarrow2x=4\)

\(\Leftrightarrow x=4:2\)

\(\Leftrightarrow x=2\)

Vậy x =2

Answer 2

\(55^{2x}:11^{2x}=625\)

\(55^{2x}\cdot\left(\frac{1}{11}\right)^{2x}=625\)

\(\left(55\cdot\frac{1}{11}\right)^{2x}=625\)

\(5^{2x}=5^4\)

\(\Leftrightarrow2x=4\)

\(x=2\)