Solve for x\displaystyle {x}:

log2(x)+log2(x+2)=7\displaystyle {{\log}_{{{2}}}{\left({x}\right)}}+{{\log}_{{{2}}}{\left({x}+{2}\right)}}={7}

x=\displaystyle {x}=  

Round your final answer to 6 decimal places. Note:Do not round until the final step.