Question

If 2= (1+r)^7 then, solve the equation for what is"r" equal to.?

Answer 1

We need to solve the following expression.

`2=(1+r)^7`

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.

`\sqrt[7]{2}=\sqrt[7]{\left(1+r\right)^7_{}}`

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.

`1.104=1+r`

We can now isolate the "r" variable on the left side to find its value.

`\begin{gathered} r\text{ = 1.104-1} \\ r=0.104 \end{gathered}`

The result is "r=0.104".