\[\boxed{\mathbf{1253}\mathbf{.}}\]
\[1)\ \lg 50 = \log_{10}(5 \bullet 10) =\]
\[= \log_{10}5 + \log_{10}10 =\]
\[= \log_{10}5 + 1;\]
\[\log_{10}1 < \log_{10}5 < \log_{10}10\]
\[0 < \log_{10}5 < 1\]
\[1 < \log_{10}5 + 1 < 2.\]
\[Ответ:\ \ между\ 1\ и\ 2.\]
\[2)\log_{2}10 = \log_{2}(2 \bullet 5) =\]
\[= \log_{2}2 + \log_{2}5 = 1 + \log_{2}5;\]
\[\log_{2}4 < \log_{2}5 < \log_{2}8\]
\[2 < \log_{2}5 < 3\]
\[3 < \log_{2}5 + 1 < 4.\]
\[Ответ:\ \ между\ 3\ и\ 4.\]