a) \(\left(\dfrac{1}{3}\right)^n=\dfrac{1}{27}\)
\(\Rightarrow\dfrac{1}{3^n}=\dfrac{1}{3^3}\Rightarrow n=3\)
b) \(\left(\dfrac{3}{5}\right)^n=\dfrac{81}{625}\)
\(\Rightarrow\left(\dfrac{3}{5}\right)^n=\left(\dfrac{3}{5}\right)^4\Rightarrow n=4\)
c) \(3^n.2^n=36\)
\(\Rightarrow6^n=6^2\Rightarrow n=2\)
d) \(\dfrac{2^n}{3^n}=\dfrac{8}{27}\)
\(\Rightarrow\left(\dfrac{2}{3}\right)^n=\left(\dfrac{2}{3}\right)^3\Rightarrow n=3\)
a)
\(\left(\dfrac{1}{3}\right)^n=\left(\dfrac{1}{3}\right)^3\)=>n=3
b)\(\left(\dfrac{3}{5}\right)^n=\left(\dfrac{3}{5}\right)^4=>n=4\)
c)
\(\left(3.2\right)^n=36\)
6n=62
n=2
