2 to the power of x is 2048, what is x

2 to the power of x is 2048, what is x

$$\small{\text{$ \begin{array} {rcl} 2^x &=& 2048 \qquad | \qquad \ln()\\\\ \ln{(2^x)} &=& \ln{(2048)} \\\\ x\cdot \ln{(2)} &=& \ln{(2048)} \\\\ x &=& \dfrac{ \ln{(2048)} } { \ln{(2)} } \\\\ x &=& \dfrac{ 7.62461898616 } { 0.69314718056} \\\\ \mathbf{x} &\mathbf{=}& \mathbf{11} \\\\ \end{array} $}}$$