Question

5^(x+4) -3.5^(x+3)=2.5^1

Answer 1

Ta có:\(5^{x+4}-3\cdot5^{x+3}=2\cdot5\)

\(5^x\cdot5^4-3\cdot5^x\cdot5^3=10\)

\(5^x\left(5^4-3\cdot5^3\right)=10\)

\(5^x\cdot250=10\)

\(5^x=10:250\)

\(5^x=\frac{1}{25}\)

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

\(\Rightarrow x=-2\)

 

Answer 2

\(5^{x+4}-3.5^{x+3}=2.5\)

\(\Rightarrow5^{x+3}.5-3.5^{x+3}=2.5\)

\(\Rightarrow5^{x+3}.\left(5-3\right)=2.5\)

\(\Rightarrow5^{x+3}.2=2.5\)

\(\Rightarrow5^{x+3}=5\)

\(\Rightarrow x+3=1\)

\(\Rightarrow x=-2\)

Vậy \(x=-2\)