SOLUTION: h(x)=log1/8(x+2)+5 sketch the graph, find two points on the graph and determine the domain and axis of any vertical asymptotes

Question 1075957: h(x)=log1/8(x+2)+5
sketch the graph, find two points on the graph and determine the domain and axis of any vertical asymptotes

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
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.

https://www.desmos.com/calculator

your graph will look like this:

$$$

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.

RELATED QUESTIONS
Consider the logarithmic equation f(x) = ln (x + 2) � 1. Round all values to the tenths... (answered by Boreal)

Consider the logarithmic equation f(x) = ln (x + 2) � 1. Round all values to the tenths... (answered by Theo)

f(x)=((x-1)/(x^2 x-12)) factor the function and find the domain and any holes find any... (answered by lynnlo)

Graph f(x)=(3^-x)-2 and determine the domain, range and vertical asymptote of f. (answered by stanbon)

Given {{{f(x)=2x-x^2+3}}}, find the domain, the range, the axis of symmetry, and the... (answered by ichudov)

For the given rational function f(x) = 3 - 3x over (divided by) x - 5, find the following (answered by Theo)

Someone PLEASE help me!I'm am all sorts of confused on these. Can anyone help me out and... (answered by stanbon,lynnlo,solver91311)

find the domain and sketch the graph of the... (answered by swincher4391)

Find the vertex and intercepts for h(x)= -x^2-2x+8 and sketch the... (answered by jim_thompson5910)