Bài 8:
1) \(2^{x+1}=32.2\)
\(2^{x+1}=64\)
\(2^{x+1}=2^6\)
\(x+1=6\)
\(x=6-1\)
\(x=5\)
Vậy \(x=5\)
2) \(5^{x+1}=5^4.25\)
\(5^{x+1}=5^4.5^2\)
\(5^{x+1}=5^{4+2}\)
\(5^{x+1}=5^6\)
\(x+1=6\)
\(x=6-1\)
\(x=5\)
Vậy \(x=5\)
3) \(3^{x-3}=27.3^2\)
\(3^{x-3}=3^3.3^2\)
\(3^{x-3}=3^{3+2}\)
\(3^{x-3}=3^5\)
\(x-3=5\)
\(x=5+3\)
\(x=8\)
Vậy \(x=8\)
4) \(4^{x-5}=4.4^5\)
\(4^{x-5}=4^{1+5}\)
\(4^{x-5}=4^6\)
\(x-5=6\)
\(x=6+5\)
\(x=11\)
Vậy \(x=11\)
5) \(2^{x-2}=2^5.2^8\)
\(2^{x-2}=2^{5+8}\)
\(2^{x-2}=2^{13}\)
\(x-2=13\)
\(x=13+2\)
\(x=15\)
Vậy x=15