Logaritmická rovnice
Řeš v \( \R \) rovnici:
\( \large \log _{2}x^{2}-2\log _{2}x = 4 \)
\( \log _{2}x^{2} −\log _{2}x = 4\ \to\ x = 8 \)
\( K = \{8\} \)
\( \log _{2}x^{2} −\log _{2}x = 4\ \to\ x = 16 \)
\( K = \{16\} \)
\( \log _{2}x^{2} −\log _{2}x = 4\ \to\ x = 4 \)
\( K = \{4\} \)
\( \log _{2}x^{2} −\log _{2}x^{2} = 4\ \to\ 0 = 4 \)
\( K = ∅ \)