Конечно! Вот 30 примеров логарифмов, содержащих дроби и корни с ответами.
\(\log_2 \frac{8}{4} = 1\)
\(\log_3 \frac{27}{9} = 1\)
\(\log_{10} \frac{100}{10} = 1\)
\(\log_5 \frac{25}{5} = 1\)
\(\log_4 \frac{16}{4} = 1\)
\(\log_2 \sqrt{4} = 1\)
\(\log_3 \sqrt{9} = 1\)
\(\log_{10} \sqrt{100} = 1\)
\(\log_5 \sqrt{25} = 1\)
\(\log_4 \sqrt{16} = 1\)
\(\log_2 \frac{1}{2} = -1\)
\(\log_3 \frac{1}{3} = -1\)
\(\log_{10} \frac{1}{10} = -1\)
\(\log_5 \frac{1}{5} = -1\)
\(\log_4 \frac{1}{4} = -1\)
\(\log_2 \frac{1}{\sqrt{2}} = -\frac{1}{2}\)
\(\log_3 \frac{1}{\sqrt{3}} = -\frac{1}{2}\)
\(\log_{10} \frac{1}{\sqrt{10}} = -\frac{1}{2}\)
\(\log_5 \frac{1}{\sqrt{5}} = -\frac{1}{2}\)
\(\log_4 \frac{1}{\sqrt{4}} = -\frac{1}{2}\)
\(\log_2 \frac{16}{2} = 3\)
\(\log_3 \frac{81}{9} = 2\)
\(\log_{10} \frac{1000}{100} = 1\)
\(\log_5 \frac{125}{25} = 1\)
\(\log_4 \frac{64}{16} = 2\)
\(\log_2 \frac{\sqrt{8}}{2} = 0\)
\(\log_3 \frac{\sqrt{27}}{3} = 0\)
\(\log_{10} \frac{\sqrt{100}}{10} = 0\)
\(\log_5 \frac{\sqrt{25}}{5} = 0\)
\(\log_4 \frac{\sqrt{16}}{4} = 0\)
Если вам нужно больше примеров или с другими параметрами, пожалуйста, дайте знать!