Solución 1
\[\log_{4} (4^{x^{3}}*4) = \boxed{x^{3}+1}\]
Solución 2
\[\log_{9} (9^{x^{10}}*9) = \boxed{x^{10}+1}\]
Solución 3
\[\log_{7} (7^{x^{4}}*7*7) = \boxed{x^{4}+2}\]
Solución 4
\[\log_{4} (4^{x^{4}}*4*4) = \boxed{x^{4}+2}\]
Solución 5
\[\log_{5} (5^{6x^{6}}*5*5) = \boxed{6x^{6}+2}\]
Solución 6
\[\log_{7} (7^{6x^{6}}*7*7) = \boxed{6x^{6}+2}\]
Solución 7
\[\log_{8} (8^{4x^{10}}*8^{x+2})) = \boxed{4x^{10}+x+2}\]
Solución 8
\[\log_{9} (9^{7x^{2}}*9^{x+2})) = \boxed{7x^{2}+x+2}\]
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