Question 1075957
you can use the log base conversion formula to convert this to log10.


you will get:


log(x+2) to the base of 1/8 + 5 is equal to log(x+2)/log(1/8) + 5


now you can use your calculator to find some points and then draw a graph.


or, .....


you can use the following online graphing sofware that will do the job for you.


<a href = "https://www.desmos.com/calculator" target = "_blank">https://www.desmos.com/calculator</a>


your graph will look like this:


<img src = "http://theo.x10hosting.com/2017/041002.jpg" alt="$$$" </>


you will have a vertical asymptote at x = -2.


when x = -2, log(x+2) becomes equal to log(0) which is not valid since the log function requires an argument that is greater than 0.


therefore x has to be greater than -2.