Question

2^n+1 = 1/8solve each equation by solving Nthe answer is -4 but I need to solve how to do it

Answer 1

For this case we have the following equation:

`2^(n+1)=(1)/(8)`

And we can do the following:

`(2^n)/(2)=(1)/(8)`

Solving for n we have:

`2^n=(1)/(4)`

Then we can apply natural log on both sides and we got:

`n\ln (2)=\ln ((1)/(4))`
`n=(\ln (0.25))/(\ln (2))=-4`