Question

Determinați numărul real x
$-(3^x-1)(5^x-1)+1=1$

Answer 1

$\it -(3^x-1)(5^x-1) +1=1|_{-1} \Rightarrow -(3^x-1)(5^x-1)=0|_{\cdot(-1)} \Rightarrow\\ \\ \\ \Rightarrow (3^x-1)(5^x-1)=0 \Rightarrow\begin{cases}\it 3^x-1=0 \Rightarrow 3^x=1 \Rightarrow x=0\\ \\ \it 5^x-1=0 \Rightarrow 5^x=1 \Rightarrow x=0\end{cases}$