How to solve for an unknown power

How to solve for an unknown power e.g 4^x=1024

I.

$$\begin{array}{rcl} 4^x &=& 1024 \\ (2*2)^x &=& 2^{10} \\ (2^2)^x &=& 2^{10} \\ 2^{2x} &=& 2^{10} \\ 2x&=&10\\ x &=& 5 \end{array}$$

II.

$$\begin{array}{rcl} 4^x &=& 1024 \\ 4^x &=& 4^{5} \\ x &=& 5 \end{array}$$

III.

$$\begin{array}{rcl} 4^x &=& 1024 \quad | \quad \ln{()} \\ \ln{(4^x)} &=& \ln{(1024)} \\ x\ln{(4)} &=& \ln{(1024)} \\ \\ x &=& \frac{ \ln{(1024)} } { \ln{(4)} } \\ \\ x &=& 5 \end{array}$$

Please help I can't figure it out