SOLUTION: f(x) = ln (x-e)-1 how do i sketch the graph and find the domain? i really don't understand the problem. all that is in my book is how to graph logarithms not natural logs. is it th

Question 723028: f(x) = ln (x-e)-1 how do i sketch the graph and find the domain? i really don't understand the problem. all that is in my book is how to graph logarithms not natural logs. is it the same thing? please if you have the knowledge please spare a minute. good karma will be awarded.
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
Logarithms can have any positive number except 1 as a base. Natural logarithms are just a logarithm with a specific base, the number we call "e". In other words, .

The graphs of all logarithms with a base which is greater than 1 have similar-looking graphs. Here's the graphs of (whose base is 10) in green, in blue and in red:

The main difference in the three is how sharply they curve. The higher the base is the more sharply the graph curves. (Note: The actual graphs do not intersect the y-axis. If it looks like they do, it is just because of a flaw in algebra.com's graphing software.)

For the graph of f(x) = ln(x-e)-1 we just take the graph of y = ln(x) and preform the appropriate transformations. In f(x) we have "x-e" instead of just "x" so the graph of f(x) will be shifted to the right by "e" (which is about 2.8). The "-1" in f(x) will shift the graph down 1. So to sketch f(x), take the graph of ln(x) and shift it to the right by about 2.8 and down by 1.
RELATED QUESTIONS
How do we find the domain, range and intercepts of any given graph? For example, find... (answered by ikleyn)

How do I find the domain of f(x)=ln(ln(x))without using my... (answered by josmiceli)

The problem states: Find the domain of the following. f(t)=log(t-5) g(x)=5e xpower (answered by stanbon)

OK , here is the problem, solve for x. x^(1+ln x)= 7,39 Doesn�t look that complicated... (answered by longjonsilver)

im giving the below function and im asked to find the domain and the intervals where... (answered by lwsshak3)

Find the equation of the tangent to; f(x) = e^-x at the point where x=2. So I know... (answered by ikleyn)

How do I "sketch the restricted function and state the domain and range in interval... (answered by Edwin McCravy)

I'm don't remember how to do my math homework. Problem is Sketch the graph of each line.... (answered by ankor@dixie-net.com)

Hello, can someone please help me..I cannot wrap my head around this problem. if... (answered by stanbon)