$$\text { Tell whether the statement } \log _ { 4 } 4 ^ { 5 } = 5 \left( 4 ^ { \log 4 ^ { 5 } } \right) \text { is true or false. }$$

$$\text { Tell whether the statement } \log _ { 4 } 4 ^ { 5 } = 5 \left( 4 ^ { \log 4 ^ { 5 } } \right) \text { is true or false. }$$