Resumen - Soluciones

\[\log_{5}(5^{-5}) = \boxed{-5}\]

\[\log_{10}(10^{9}) = \boxed{9}\]

\[\log_{3} (27) = \log_3\left(3^\boxed{{3}}\right) = \boxed{3}\]

\[\log_{9} (1) = \log_{9} (9^0) = \boxed{0}\]

\[\log_{10} (1) = \log_{10} (10^0) = \boxed{0}\]

\[\log_{11} (1) = \boxed{0}\]

\[\log_{3} (1) = \boxed{0}\]

\[\log_{2} (x^{2}+1) = \boxed{\log_{2} (x^{2}+1)}\]

\[\log_{2} (2^{x^{2}}) = \boxed{x^{2}}\]

\[\log_{2} (2^{x^{8}}) = \boxed{x^{8}}\]

\[\log_{2} (2^{x^{8}}*9) = \boxed{\log_{2} (2^{x^{8}}*9)}\]

\[\log_{2} (2^{x^{8}}*2) = \boxed{(x^{8}+1)}\]