Ответ:

[tex] log_{4}(3) + log_{4}(5) \times \frac{1}{3} [/tex]

[tex] log_{ {2}^{3} }(3) + log_{4}(5) \times \frac{1}{3} [/tex]

[tex] \frac{1}{2} \times log_{2}(3) + log_{4}(5) \times \frac{1}{3} [/tex]

[tex] log_{2}( {3}^{ \frac{1}{2} } ) + log_{ {2}^{2} }(5) \times \frac{1}{3} [/tex]

[tex] log_{2}( {3}^{ \frac{1}{2} } ) + \frac{1}{2} \times log_{2}(5) \times \frac{1}{3} [/tex]

[tex] log_{2}( {3}^{ \frac{1}{2} } ) + \frac{1 \times 1}{2 \times 3} \times log_{2}(5) [/tex]

[tex] log_{2}( {3}^{ \frac{1}{2} } ) + \frac{1}{6} \times log_{2}(5) [/tex]

[tex] log_{2}( {3}^{ \frac{1}{2} } ) + log_{2}( {5}^{ \frac{1}{6} } ) [/tex]

[tex] log_{2}( {3}^{ \frac{1}{2} } \times {5}^{ \frac{1}{6} } ) [/tex]

[tex] log_{2}( \sqrt{3} \sqrt[6]{5} ) [/tex]

[tex] log_{2}( \sqrt[6]{ {3}^{3} } \sqrt[6]{5} ) [/tex]

[tex] log_{2}( \sqrt[6]{ {3}^{3} \times 5} ) [/tex]

[tex] log_{2}( \sqrt[6]{27 \times 5} ) [/tex]

[tex] log_{2}( \sqrt[6]{135} ) [/tex]

[tex] log_{2}( {136}^{ \frac{1}{6} } ) [/tex]

[tex] \frac{1}{6} \times log_{2}(135) [/tex]