Question

Tìm x:

a^(x-2)(x-3)=1

Làm giúp tớ nhé, đang cần gấp lắm hjhj ^^ ^(x-2)(x-3)=1

Answer 1

\(a^{\left(x-2\right)\left(x-3\right)}=1\)

\(\Rightarrow a^{\left(x-2\right)\left(x-3\right)}=a^0\)

\(\Rightarrow\left(x-2\right)\left(x-3\right)=0\)

\(\Rightarrow x-2=0\) hoặc \(x-3=0\)

+) \(x-2=0\Rightarrow x=2\)

+) \(x-3=0\Rightarrow x=3\)

Vậy \(x\in\left\{2;3\right\}\)