logarytmy
: 07 paź 2015, 19:18
\(log_3 2\) = a \(log_6 5\) = b oblicz log przy podstawie 216 z 225
\(\log_3 2 = a\)
\(a + 1 = \log_3 2 + \log_3 3 = \log_3 6\)
\(\log_6 3 = \frac{1}{a+1}\)
\(\log_{216} 225 = c = ?\)
\(c = \frac{2}{3} \log_6 15\)
\(\log_6 15 = \log_6 3 + \log_6 5 = \frac{1}{a+1} + b\)
odp: \(\frac{2}{3} \cdot ( \frac{1}{a+1} + b)\)