Question

4 mũ 2x+4=64

3 mũ x-1+ 3 mũ x-2=108

Answer 1

Ta có: \(4^{2x+4}=4^3\)

\(\Rightarrow\)\(2x+4=3\)

\(\Rightarrow\)\(x=\frac{-1}{2}\)

Answer 2

Ta có: \(3^{x-1}+3^{x-2}=108\)

\(\Rightarrow\)\(3^{x-1}+3^{x-2}=2^2.3^3\)

\(\Rightarrow\)\(3^{x-2}=3^3\)

\(\Rightarrow\)\(x-2=3\)

\(\Rightarrow x=5\)