Question

5^x+2 - 5^x= 3.10^3 Please help me

Answer 1

\(5^{x+2}-5^x=3.10^3\)

\(\Rightarrow5^x\left(5^2-1\right)=3000\)

\(\Rightarrow5^x.24=3000\Rightarrow5^x=125=5^3\)

\(\Rightarrow x=3\)

Answer 2

\(5^{x+2}-5^x=3\cdot10^3\)

\(\Leftrightarrow5^x\cdot24=3000\)

\(\Leftrightarrow x=3\)