Question

〖log〗_10 250- 〖log〗_10 2, 5+ 〖log〗_16 〖log〗_6 36

Answer 1

$log_{10}(250) - log_{10}(2.5) + log_{16}(log_{16}(36))\\log_{10}(\frac{250}{2.5}) + log_{2^{4}}(log_{6}(6^{2}))\\log_{10}(100) + log_{2^{4}}(2)\\log_{10}(10^{2}) + \frac{1}{4} \\2+\frac{1}{4} \\\frac{9}{4} \\2.25\\$

ответ: 2.25