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Výpočet logaritmu
Vypočítej hodnotu logaritmu:
\( \large y = \log \left( {10^9}\cdot \Large \frac{1}{{100}}\large \right) \)
\( {10^9}\cdot\frac{1}{{100}} = 1\ 000\ 000\ 000 \div 100 = 10\ 000\ 000 = {10^8} \)
\( 10^{8} = 10^{y} \)
\( y = 8 \)
\( {10^9}\cdot\frac{1}{{100}} = 1\ 000\ 000\ 000 \div 100 = 10\ 000\ 000 = {10^5} \)
\( 10^{5} = 10^{y} \)
\( y = 5 \)
\( {10^9}\cdot\frac{1}{{100}} = 1\ 000\ 000\ 000 \div 100 = 10\ 000\ 000 = {10^6} \)
\( 10^{6} = 10^{y} \)
\( y = 6 \)
\( {10^9}\cdot\frac{1}{{100}} = 1\ 000\ 000\ 000 \div 100 = 10\ 000\ 000 = {10^7} \)
\( 10^{7} = 10^{y} \)
\( y = 7 \)