Resposta :
[tex]10\%=\frac{1\diagup\!\!\!\!0}{10\diagup\!\!\!\!0} = 0,1[/tex]
[tex]\boxed{\boxed{\mathsf{M=C\cdot(1+i)^n}}}\bigstar\\\\1.610,51=1.000\cdot(1+0,1)^n\\\\(1,10)^n=\frac{1.610,51}{1.000}\\\\(1,10)^n=1,61051\\\\n=log_{(1,10)}1,61051\\\\n=\frac{log(1,61051)}{log(1,10)}\\\\\boxed{n=5~anos}\checkmark[/tex]