Write three different, but equivalent, expressions for each of the following logs. For example: $\log(7^{3/2})$ can be written as $\frac{3}{2}\log(7)$, $\frac{1}{2}\log(7^3)$, $3\log\left(\sqrt{7}\right)$, etc. .

1. $\log(8^{2/3})$ 

   Hint (a):

   Simplify the argument:

   More Help 1(a):

   Simplify the argument further:

   More Help 2(a):

   The Power Property of Logarithms is $\log_m(a^n)=n\cdot\log m(a)$, so one way to rewrite this expression is $\frac{2}{3}\log(8)$.

2. $−2\log(5)$ 

   Hint (b):

   Use the Power Property of Logarithms in reverse here.
   Since $n·\log_m(a)=\log_m(a^n),−2\log(5)=\log(5^{−2})$.

   More Help (b):

   Find two different ways to rewrite $5^{−2}$
   (there are more than two ways to do this).

3. $\log(na)^{bo}$ 

   Hint (c):

   Refer to parts (a) and (b).