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Rovnica s logaritmami v reálnych číslach
Rieš v \( \mathbb{R} \) rovnicu \( \log _{5}(5-x)-4 \cdot \log _{5} 2=\log _{5} x \) a urč definičný obor.
\( \large\begin{array}{l}\frac{6}{17}\in D(x)\\ K=\left\{\frac{6}{17}\right\}\end{array} \)
\( D(x)=(0 ; 5) \)
\( \large\begin{array}{l}\frac{5}{17}\in D(x)\\ K=\left\{\frac{4}{17}\right\}\end{array} \)
\( D(x)=(0 ; 5) \)
\( \large\begin{array}{l}\frac{5}{18}\in D(x)\\ K=\left\{\frac{5}{18}\right\}\end{array} \)
\( D(x)=(0 ; 5) \)
\( \large\begin{array}{l}\frac{5}{17}\in D(x)\\ K=\left\{\frac{5}{17}\right\}\end{array} \)
\( D(x)=(0 ; 5) \)