Solve each equation below for $x$.

1. $16^{3/4} = 4^x$ 

   Step 1(a):

   $(4^2)^{3/4} = 4^x$

   Step 2(a):

   $4^{6/4} = 4^x$

   Answer (a):

   $\frac{3}{2} = x$

2. $8^{1/3} = 4^x$ 

   Hint (b):

   Use the same method as part (a) and a base of $2$.

3. $3^{4x} = 9^2$ 

   Answer (c):

   $x = 1$

4. $( \frac { 1 } { 2 } ) ^ { x }= 4$ 

   Hint (d):

   $\bigg(\frac{1}{2}\bigg)^{x}=2^{-x}$