Properties of Logarithms

 $What\ is\ the\ value\ of\log_416?$  

 $What\ is\ the\ value\ of\log_8512?$  

 $What\ is\ the\ value\ of\log_7343?$  

 $What\ is\ the\ value\ of\log_264?$  

 $What\ is\ the\ value\ of\log_44?$  

 $What\ is\ the\ value\ of\log1?$  

 $What\ is\ the\ value\ of\ln e?$  

 $What\ is\ the\ value\ of\log_9\sqrt[5]{81}?$  

Write your answer as a fraction.

 $What\ is\ the\ value\ of\log_4\left(\frac{1}{4}\right)?$  

 $What\ is\ the\ value\ of\log_99?$