Given that $\log 2 ≈ 0.3010$, $\log 3 ≈ 0.4771$ and $\log 5 ≈ 0.6990$, calculate each of the following logarithms without using a calculator. 

1. $\log6$ 

   Hint (a):

   $\log 6 = \log \left(2⋅3\right)$
   Now use the properties of logs to expand.

   Answer (a):

   $\log2 + \log3 ≈ 0.7781$

2. $\log15$ 

   Hint (b):

   Express 15 as a product of numbers whose logs are given.

   More Help (b):

   See part (a).

3. $\log9$ 

   Hint (c):

   $\log 9$ can be rewritten as $\log\left(3 · 3\right)$ or $\log 3^{2}$. Try both.

4. $\log50$ 

   Hint (d):

   $50 = 2 · 5^{2}$