\(\left(-6\right)^{2x+2}=\frac{1}{36}\)
=> \(\left(-6\right)^{2x+2}=\frac{1}{\left(-6\right)^2}\)
=> (-6)2x + 2 = (-6)-2
=> 2x + 2 = -2
=> 2x = -4
=> x = -2
Vậy x = -2
\(\left(-6\right)^2x+2=\frac{1}{36}\)
\(\Rightarrow36x+2=\frac{1}{36}\)
\(\Rightarrow36x=\frac{1}{36}-2\)
\(\Rightarrow36x=-\frac{71}{36}\)
\(\Rightarrow x=\left(-\frac{71}{36}\right):36\)
\(\Rightarrow x=-\frac{71}{1296}\)
Vậy \(x=-\frac{71}{1296}.\)
\(\left(-6\right)^2x+2=\frac{1}{36}\Leftrightarrow36x+2=\frac{1}{36}\)
\(\Leftrightarrow36x=-\frac{71}{36}\Leftrightarrow x=-\frac{71}{1296}\)
\(\left(-6\right)^2x+2=\frac{1}{36}\)
\(36x+2=\frac{1}{36}\)
\(36x=\frac{1}{36}-2\)
\(36x=-\frac{71}{36}\)
\(x=-\frac{71}{36}:36\)
\(x=-\frac{71}{1296}\)
vậy \(x=-\frac{71}{1296}\)