\(27^5.3^x=9^{10}\)
\(\left(3^3\right)^5.3^x=\left(3^2\right)^{10}\)
\(3^{15}.3^x=3^{20}\)
\(\Rightarrow3^x=3^{20}-3^{15}\)
\(\Rightarrow3^x=3^5\)
\(\Rightarrow x=5\)
Vậy x= 5
k mik nha
\(\Leftrightarrow3^{15}.3^x=3^{20}\)
\(\Leftrightarrow3^{15+x}=3^{20}\)
\(\Leftrightarrow15+x=20\)
\(\Leftrightarrow x=5\)
Cho dù năm nay em mới lên lớp sau nhưng em sẽ giúp anh ( chị )
\(27^5.3^x=9^{10}\)
\(\left[3^3\right]^5.3^x=\left[3^2\right]^{10}\)
\(3^{15}.3^x=3^{20}\)
\(3^x=3^{20}:3^{15}\)
\(3^x=3^5\)
\(\Rightarrow x=5\)
\(27^5.3^x=9^{10}\)
\(\Leftrightarrow3^x=9^{10}:27^5\)
\(\Leftrightarrow3^x=\left(3^2\right)^{10}:\left(3^3\right)^5\)
\(\Leftrightarrow3^x=3^{20}:3^{15}\)
\(\Leftrightarrow3^x=3^5\)
\(\Leftrightarrow x=5\)