Question

Determinati solutiile reale ale ecutia log din 5 din
(x-2) =0

Answer 1

$\log_{\big5}(x-2) = 0 \\ \\ Conditie de existenta: x-2 \ \textgreater \ 0 \Rightarrow x\ \textgreater \ 2 \Rightarrow D = (2,+\infty) \\ \\ x-2 = 5^0 \\ \\ x-2 = 1 \\ \\ x= 1+2 \\ \\ x = 3\in D \\ \\ S = \Big\{3\Big\}$