We need to solve the following expression.
[tex]2=(1+r)^7[/tex]The first step to do this is to remove the power of 7 from the parenthesis. To do this we need to apply the seventh root on both sides of the equation as shown below.
[tex]\sqrt[7]{2}=\sqrt[7]{\left(1+r\right)^7_{}}[/tex]The 7 root and the power of 7 cancel each other on the right side and with the help of a calculator we can find the 7 root of 2 from the left side.
[tex]1.104=1+r[/tex]We can now isolate the "r" variable on the left side to find its value.
[tex]\begin{gathered} r\text{ = 1.104-1} \\ r=0.104 \end{gathered}[/tex]The result is "r=0.104".
