Question

5^x+1-5^x=500

Answer 1

Ta có: \(5^{x+1}-5^{x}=500\)

=>\(5^{x}\cdot5-5^{x}=500\)

=>\(5^{x}\cdot4=500\)

=>\(5^{x}=\frac{500}{4}=125=5^3\)

=>x=3

Answer 2

\(5^{x+1}-5^{x}=500\)

\(5^{x}\cdot\left(5-1\right)=500\)

\(5^{x}\cdot4=500\)

\(5^{x}=100:4\)

\(5^{x}=125\)

\(5^{x}=5^3\)

\(\Rightarrow x=3\)

Vậy x = 3