Resumen

\[\log_{7}(7^{-4}) = \boxed{-4}\]

\[\log_{6}(6^{4}) = \boxed{4}\]

\[\log_{4} (1) = \log_{4} (4^0) = \boxed{0}\]

\[\log_{7} (7^{2x+6}) = \boxed{2x+6}\]

\[\log_{5} (x^{5}+1) = \boxed{\log_{5} (x^{5}+1)}\]

\[\log_{5} (5^{x^{3}}) = \boxed{x^{3}}\]

\[\log_{5} (5^{x^{3}}+4) = \boxed{\log_{5} (5^{x^{3}}+4)}\]

\[\log_{5} (5^{x^{3}}*4) = \boxed{\log_{5} (5^{x^{3}}*4)}\]

\[\log_{5} (5^{x^{3}}*25) = \boxed{(x^{3}+2)}\]

\[\log_{2} (2^{x^{6}}*2*2) = \boxed{x^{6}+2}\]

\[\log_{9} (9^{4x^{8}}*9*9) = \boxed{4x^{8}+2}\]

\[\log_{5} (5^{5x^{3}}*5^{x+2})) = \boxed{5x^{3}+x+2}\]