Solve for x\displaystyle {x}:

18(1.11x)=11(1.1x)\displaystyle {18}{\left({1.11}^{{x}}\right)}={11}{\left({1.1}^{{x}}\right)}

x\displaystyle {x} =  

Round your final answer to 6 decimal places.

Note: Do not round until the final step.