Logaritmus a jeho výpočet
Vypočítej hodnotu logaritmu:
\( \large y = {\log _{\Large \frac{1}{2}\large }}64 \)
\( {\left( {\frac{1}{2}} \right)^{ − 4}} = \frac{16}{1} = 16 \)
\( 16 \cdot 4 = 64 → {\left( {\frac{1}{2}} \right)^{ − 4\ \cdot \ 1.5}} = {\left( {\frac{1}{2}} \right)^{−6}} \)
\( y = −\ 6 \)
\( {\left( {\frac{1}{2}} \right)^{ − 5}} = \frac{32}{1} = 32 \)
\( 32 \cdot 2 = 64 → {\left( {\frac{1}{2}} \right)^{ − 5\ \cdot \ 1.2}} = {\left( {\frac{1}{2}} \right)^{−6}} \)
\( y = −\ 6 \)
\( {\left( {\frac{1}{2}} \right)^{ − 3}} = \frac{8}{1} = 8 \)
\( 8 \cdot 8 = 64 → {\left( {\frac{1}{2}} \right)^{ − 3\ \cdot \ 2}} = {\left( {\frac{1}{2}} \right)^{−6}} \)
\( y = −\ 6 \)
\( {\left( {\frac{1}{2}} \right)^{ − 2}} = \frac{4}{1} = 4 \)
\( 4 \cdot 4 \cdot 4 = 64 → {\left( {\frac{1}{2}} \right)^{ − 2\ \cdot \ 3}} = {\left( {\frac{1}{2}} \right)^{−6}} \)
\( y = −\ 6 \)