Solve the following equation:

80(1.21)x=1160\displaystyle {80}{\left({1.21}\right)}^{{x}}={1160}

Write your answers exactly (i.e. no decimal approximations and simplified if possible), separated by a comma.
x=\displaystyle {x}=  

Write your answers as decimals rounded to four decimal places.
x≈\displaystyle {x}\approx  

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