Question

\(\frac{3^2.3^8}{27^3}=3^x\)

Tìm x

Answer 1

\(\frac{3^2.3^8}{27^3}=3^x\)

\(\Leftrightarrow\frac{3^{2+8}}{\left(3^3\right)^3}=3^x\)

\(\Leftrightarrow\frac{3^{10}}{3^9}=3^x\)

\(\Leftrightarrow3=3^x\)

\(\Leftrightarrow x=1\)

Answer 2

           \(\frac{3^2.3^8}{27^3}=3^x\)

<=>    \(\frac{3^{10}}{3^9}=3^x\)

<=>     \(3=3^x\)

<=>      x=1

Answer 3

\(\frac{3^2\cdot3^8}{27^3}=3^x\)

\(\Leftrightarrow3^2\cdot3^8=27^3\cdot3^x\)

\(\Leftrightarrow3^{10}=\left(3^3\right)^3\cdot3^x\)

\(\Leftrightarrow3^{10}=3^9\cdot3^x\)

\(\Leftrightarrow3^{10}=3^{9+x}\)

\(\Rightarrow10=9+x\)

\(\Leftrightarrow x=1\)

Answer 4

\(\frac{3^2.3^8}{27^3}=3^x\)

\(\Leftrightarrow\frac{3^{10}}{3^9}=3^x\)

\(\Leftrightarrow3=3^x\)

\(\Leftrightarrow x=1\)