Copy and replace the question mark with the correct value, or state “impossible” and explain why.   

1. $\log_2\left(\frac{1}{64}\right)=?$ 

   Hint (a):

   $2^?=\frac{1}{64}?$

2. $\ln(?)=0$ 

   Hint (b):

   $e^?=0?$

3. $\log_3\left(27\sqrt{3}\right)=?$ 

   Hint (c):

   Rewrite $27\sqrt{3}$ using a base of $3$ and an exponent.

4. $\ln(e^6)=?$ 

   Hint (d):

   Refer to the hint in part (b).

5. $\log_8(−8)=?$ 

   Hint (e):

   What is the domain of a logarithmic function?

6. $\log_5\left(^3\sqrt{25}\right)=?$ 

   Hint (f):

   Rewrite the argument in exponential form with a base of $5$.